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Finding the Fourth Proportional to 10,242.61, 15,284.03 and 9,139.39

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Solution

The fourth proportional to 10,242.61, 15,284.03 and 9,139.39 is: 13,637.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.61 : 15,284.03 = 9,139.39 : x
  2. Step 2: Convert to fraction form
    10,242.61/15,284.03 = 9,139.39/x
  3. Step 3: Cross multiply
    10,242.61x = 15,284.03 × 9,139.39
  4. Step 4: Simplify right side
    10,242.61x = 139,686,710.94
  5. Step 5: Solve for x
    x = 139,686,710.94/10,242.61
  6. Step 6: Final answer
    x = 13,637.80

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.