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Finding the Fourth Proportional to 7,034.64, 9,707.88 and 3,890.64

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Solution

The fourth proportional to 7,034.64, 9,707.88 and 3,890.64 is: 5,369.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.64 : 9,707.88 = 3,890.64 : x
  2. Step 2: Convert to fraction form
    7,034.64/9,707.88 = 3,890.64/x
  3. Step 3: Cross multiply
    7,034.64x = 9,707.88 × 3,890.64
  4. Step 4: Simplify right side
    7,034.64x = 37,769,866.24
  5. Step 5: Solve for x
    x = 37,769,866.24/7,034.64
  6. Step 6: Final answer
    x = 5,369.13

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Why These Related Problems?

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