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Finding the Fourth Proportional to 6,284.60, 9,414.12 and 5,045.30

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Solution

The fourth proportional to 6,284.60, 9,414.12 and 5,045.30 is: 7,557.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.60 : 9,414.12 = 5,045.30 : x
  2. Step 2: Convert to fraction form
    6,284.60/9,414.12 = 5,045.30/x
  3. Step 3: Cross multiply
    6,284.60x = 9,414.12 × 5,045.30
  4. Step 4: Simplify right side
    6,284.60x = 47,497,059.64
  5. Step 5: Solve for x
    x = 47,497,059.64/6,284.60
  6. Step 6: Final answer
    x = 7,557.69

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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.