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Finding the Fourth Proportional to 9,534.32, 14,301.52 and 3,374

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Solution

The fourth proportional to 9,534.32, 14,301.52 and 3,374 is: 5,061.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.32 : 14,301.52 = 3,374 : x
  2. Step 2: Convert to fraction form
    9,534.32/14,301.52 = 3,374/x
  3. Step 3: Cross multiply
    9,534.32x = 14,301.52 × 3,374
  4. Step 4: Simplify right side
    9,534.32x = 48,253,328.48
  5. Step 5: Solve for x
    x = 48,253,328.48/9,534.32
  6. Step 6: Final answer
    x = 5,061.01

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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.