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Finding the Fourth Proportional to 9,672.48, 14,505.60 and 3,098.40

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Solution

The fourth proportional to 9,672.48, 14,505.60 and 3,098.40 is: 4,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.48 : 14,505.60 = 3,098.40 : x
  2. Step 2: Convert to fraction form
    9,672.48/14,505.60 = 3,098.40/x
  3. Step 3: Cross multiply
    9,672.48x = 14,505.60 × 3,098.40
  4. Step 4: Simplify right side
    9,672.48x = 44,944,151.04
  5. Step 5: Solve for x
    x = 44,944,151.04/9,672.48
  6. Step 6: Final answer
    x = 4,646.60

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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.