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Finding the Fourth Proportional to 6,465.36, 8,909.68 and 4,599.12

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Solution

The fourth proportional to 6,465.36, 8,909.68 and 4,599.12 is: 6,337.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.36 : 8,909.68 = 4,599.12 : x
  2. Step 2: Convert to fraction form
    6,465.36/8,909.68 = 4,599.12/x
  3. Step 3: Cross multiply
    6,465.36x = 8,909.68 × 4,599.12
  4. Step 4: Simplify right side
    6,465.36x = 40,976,687.48
  5. Step 5: Solve for x
    x = 40,976,687.48/6,465.36
  6. Step 6: Final answer
    x = 6,337.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.