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Finding the Fourth Proportional to 10,495.47, 15,666.42 and 9,249.95

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Solution

The fourth proportional to 10,495.47, 15,666.42 and 9,249.95 is: 13,807.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,495.47 : 15,666.42 = 9,249.95 : x
  2. Step 2: Convert to fraction form
    10,495.47/15,666.42 = 9,249.95/x
  3. Step 3: Cross multiply
    10,495.47x = 15,666.42 × 9,249.95
  4. Step 4: Simplify right side
    10,495.47x = 144,913,601.68
  5. Step 5: Solve for x
    x = 144,913,601.68/10,495.47
  6. Step 6: Final answer
    x = 13,807.25

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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.