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Finding the Fourth Proportional to 9,124.12, 13,671.60 and 9,114.40

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Solution

The fourth proportional to 9,124.12, 13,671.60 and 9,114.40 is: 13,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.12 : 13,671.60 = 9,114.40 : x
  2. Step 2: Convert to fraction form
    9,124.12/13,671.60 = 9,114.40/x
  3. Step 3: Cross multiply
    9,124.12x = 13,671.60 × 9,114.40
  4. Step 4: Simplify right side
    9,124.12x = 124,608,431.04
  5. Step 5: Solve for x
    x = 124,608,431.04/9,124.12
  6. Step 6: Final answer
    x = 13,657.04

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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.