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Finding the Fourth Proportional to 6,165.60, 9,248.40 and 4,286.40

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Solution

The fourth proportional to 6,165.60, 9,248.40 and 4,286.40 is: 6,429.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.60 : 9,248.40 = 4,286.40 : x
  2. Step 2: Convert to fraction form
    6,165.60/9,248.40 = 4,286.40/x
  3. Step 3: Cross multiply
    6,165.60x = 9,248.40 × 4,286.40
  4. Step 4: Simplify right side
    6,165.60x = 39,642,341.76
  5. Step 5: Solve for x
    x = 39,642,341.76/6,165.60
  6. Step 6: Final answer
    x = 6,429.60

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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.