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Finding the Fourth Proportional to 10,145.17, 15,254.78 and 9,333.25

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Solution

The fourth proportional to 10,145.17, 15,254.78 and 9,333.25 is: 14,033.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.17 : 15,254.78 = 9,333.25 : x
  2. Step 2: Convert to fraction form
    10,145.17/15,254.78 = 9,333.25/x
  3. Step 3: Cross multiply
    10,145.17x = 15,254.78 × 9,333.25
  4. Step 4: Simplify right side
    10,145.17x = 142,376,686.04
  5. Step 5: Solve for x
    x = 142,376,686.04/10,145.17
  6. Step 6: Final answer
    x = 14,033.93

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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.