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Finding the Fourth Proportional to 6,465.60, 9,700.80 and 2,568.96

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Solution

The fourth proportional to 6,465.60, 9,700.80 and 2,568.96 is: 3,854.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.60 : 9,700.80 = 2,568.96 : x
  2. Step 2: Convert to fraction form
    6,465.60/9,700.80 = 2,568.96/x
  3. Step 3: Cross multiply
    6,465.60x = 9,700.80 × 2,568.96
  4. Step 4: Simplify right side
    6,465.60x = 24,920,967.17
  5. Step 5: Solve for x
    x = 24,920,967.17/6,465.60
  6. Step 6: Final answer
    x = 3,854.39

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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.