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Finding the Fourth Proportional to 6,569,034.38, 9,853,547.38 and 4,783,277.78

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Solution

The fourth proportional to 6,569,034.38, 9,853,547.38 and 4,783,277.78 is: 7,174,913.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569,034.38 : 9,853,547.38 = 4,783,277.78 : x
  2. Step 2: Convert to fraction form
    6,569,034.38/9,853,547.38 = 4,783,277.78/x
  3. Step 3: Cross multiply
    6,569,034.38x = 9,853,547.38 × 4,783,277.78
  4. Step 4: Simplify right side
    6,569,034.38x = 47,132,254,175,705.29
  5. Step 5: Solve for x
    x = 47,132,254,175,705.29/6,569,034.38
  6. Step 6: Final answer
    x = 7,174,913.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.