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Finding the Fourth Proportional to 7,037.90, 9,691.63 and 6,291.59

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Solution

The fourth proportional to 7,037.90, 9,691.63 and 6,291.59 is: 8,663.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.90 : 9,691.63 = 6,291.59 : x
  2. Step 2: Convert to fraction form
    7,037.90/9,691.63 = 6,291.59/x
  3. Step 3: Cross multiply
    7,037.90x = 9,691.63 × 6,291.59
  4. Step 4: Simplify right side
    7,037.90x = 60,975,698.20
  5. Step 5: Solve for x
    x = 60,975,698.20/7,037.90
  6. Step 6: Final answer
    x = 8,663.91

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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.