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Finding the Fourth Proportional to 6,917.65, 9,547.20 and 3,934.22

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Solution

The fourth proportional to 6,917.65, 9,547.20 and 3,934.22 is: 5,429.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.65 : 9,547.20 = 3,934.22 : x
  2. Step 2: Convert to fraction form
    6,917.65/9,547.20 = 3,934.22/x
  3. Step 3: Cross multiply
    6,917.65x = 9,547.20 × 3,934.22
  4. Step 4: Simplify right side
    6,917.65x = 37,560,737.45
  5. Step 5: Solve for x
    x = 37,560,737.45/6,917.65
  6. Step 6: Final answer
    x = 5,429.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.