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Finding the Fourth Proportional to 6,349.38, 9,512.55 and 4,978.50

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Solution

The fourth proportional to 6,349.38, 9,512.55 and 4,978.50 is: 7,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.38 : 9,512.55 = 4,978.50 : x
  2. Step 2: Convert to fraction form
    6,349.38/9,512.55 = 4,978.50/x
  3. Step 3: Cross multiply
    6,349.38x = 9,512.55 × 4,978.50
  4. Step 4: Simplify right side
    6,349.38x = 47,358,230.18
  5. Step 5: Solve for x
    x = 47,358,230.18/6,349.38
  6. Step 6: Final answer
    x = 7,458.72

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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.