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Finding the Fourth Proportional to 6,780.64, 9,350.40 and 4,542.16

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Solution

The fourth proportional to 6,780.64, 9,350.40 and 4,542.16 is: 6,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.64 : 9,350.40 = 4,542.16 : x
  2. Step 2: Convert to fraction form
    6,780.64/9,350.40 = 4,542.16/x
  3. Step 3: Cross multiply
    6,780.64x = 9,350.40 × 4,542.16
  4. Step 4: Simplify right side
    6,780.64x = 42,471,012.86
  5. Step 5: Solve for x
    x = 42,471,012.86/6,780.64
  6. Step 6: Final answer
    x = 6,263.57

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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.