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Finding the Fourth Proportional to 6,515.14, 9,773.52 and 2,354.62

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Solution

The fourth proportional to 6,515.14, 9,773.52 and 2,354.62 is: 3,532.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.14 : 9,773.52 = 2,354.62 : x
  2. Step 2: Convert to fraction form
    6,515.14/9,773.52 = 2,354.62/x
  3. Step 3: Cross multiply
    6,515.14x = 9,773.52 × 2,354.62
  4. Step 4: Simplify right side
    6,515.14x = 23,012,925.66
  5. Step 5: Solve for x
    x = 23,012,925.66/6,515.14
  6. Step 6: Final answer
    x = 3,532.22

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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.