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Finding the Fourth Proportional to 6,453.60, 9,681.12 and 2,348.64

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Solution

The fourth proportional to 6,453.60, 9,681.12 and 2,348.64 is: 3,523.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.60 : 9,681.12 = 2,348.64 : x
  2. Step 2: Convert to fraction form
    6,453.60/9,681.12 = 2,348.64/x
  3. Step 3: Cross multiply
    6,453.60x = 9,681.12 × 2,348.64
  4. Step 4: Simplify right side
    6,453.60x = 22,737,465.68
  5. Step 5: Solve for x
    x = 22,737,465.68/6,453.60
  6. Step 6: Final answer
    x = 3,523.22

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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.