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Finding the Fourth Proportional to 9,114.40, 13,671.60 and 9,056.80

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Solution

The fourth proportional to 9,114.40, 13,671.60 and 9,056.80 is: 13,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.40 : 13,671.60 = 9,056.80 : x
  2. Step 2: Convert to fraction form
    9,114.40/13,671.60 = 9,056.80/x
  3. Step 3: Cross multiply
    9,114.40x = 13,671.60 × 9,056.80
  4. Step 4: Simplify right side
    9,114.40x = 123,820,946.88
  5. Step 5: Solve for x
    x = 123,820,946.88/9,114.40
  6. Step 6: Final answer
    x = 13,585.20

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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.