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Finding the Fourth Proportional to 6,101.68, 9,130.65 and 5,282.78

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Solution

The fourth proportional to 6,101.68, 9,130.65 and 5,282.78 is: 7,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.68 : 9,130.65 = 5,282.78 : x
  2. Step 2: Convert to fraction form
    6,101.68/9,130.65 = 5,282.78/x
  3. Step 3: Cross multiply
    6,101.68x = 9,130.65 × 5,282.78
  4. Step 4: Simplify right side
    6,101.68x = 48,235,215.21
  5. Step 5: Solve for x
    x = 48,235,215.21/6,101.68
  6. Step 6: Final answer
    x = 7,905.24

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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.