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Finding the Fourth Proportional to 9,411.84, 14,132.52 and 7,480.20

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Solution

The fourth proportional to 9,411.84, 14,132.52 and 7,480.20 is: 11,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.84 : 14,132.52 = 7,480.20 : x
  2. Step 2: Convert to fraction form
    9,411.84/14,132.52 = 7,480.20/x
  3. Step 3: Cross multiply
    9,411.84x = 14,132.52 × 7,480.20
  4. Step 4: Simplify right side
    9,411.84x = 105,714,076.10
  5. Step 5: Solve for x
    x = 105,714,076.10/9,411.84
  6. Step 6: Final answer
    x = 11,232.03

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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.