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Finding the Fourth Proportional to 8,730.47, 13,098.44 and 5,614.00

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Solution

The fourth proportional to 8,730.47, 13,098.44 and 5,614.00 is: 8,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.47 : 13,098.44 = 5,614.00 : x
  2. Step 2: Convert to fraction form
    8,730.47/13,098.44 = 5,614.00/x
  3. Step 3: Cross multiply
    8,730.47x = 13,098.44 × 5,614.00
  4. Step 4: Simplify right side
    8,730.47x = 73,534,593.19
  5. Step 5: Solve for x
    x = 73,534,593.19/8,730.47
  6. Step 6: Final answer
    x = 8,422.75

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