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Finding the Fourth Proportional to 9,875.25, 14,820.17 and 4,681.13

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Solution

The fourth proportional to 9,875.25, 14,820.17 and 4,681.13 is: 7,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.25 : 14,820.17 = 4,681.13 : x
  2. Step 2: Convert to fraction form
    9,875.25/14,820.17 = 4,681.13/x
  3. Step 3: Cross multiply
    9,875.25x = 14,820.17 × 4,681.13
  4. Step 4: Simplify right side
    9,875.25x = 69,375,044.89
  5. Step 5: Solve for x
    x = 69,375,044.89/9,875.25
  6. Step 6: Final answer
    x = 7,025.14

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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.