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Finding the Fourth Proportional to 6,417.60, 9,607.68 and 5,750.64

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Solution

The fourth proportional to 6,417.60, 9,607.68 and 5,750.64 is: 8,609.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417.60 : 9,607.68 = 5,750.64 : x
  2. Step 2: Convert to fraction form
    6,417.60/9,607.68 = 5,750.64/x
  3. Step 3: Cross multiply
    6,417.60x = 9,607.68 × 5,750.64
  4. Step 4: Simplify right side
    6,417.60x = 55,250,308.92
  5. Step 5: Solve for x
    x = 55,250,308.92/6,417.60
  6. Step 6: Final answer
    x = 8,609.19

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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.