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Finding the Fourth Proportional to 7,172.91, 9,899.69 and 5,657.00

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Solution

The fourth proportional to 7,172.91, 9,899.69 and 5,657.00 is: 7,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,172.91 : 9,899.69 = 5,657.00 : x
  2. Step 2: Convert to fraction form
    7,172.91/9,899.69 = 5,657.00/x
  3. Step 3: Cross multiply
    7,172.91x = 9,899.69 × 5,657.00
  4. Step 4: Simplify right side
    7,172.91x = 56,002,468.55
  5. Step 5: Solve for x
    x = 56,002,468.55/7,172.91
  6. Step 6: Final answer
    x = 7,807.50

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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.