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Finding the Fourth Proportional to 9,385.39, 12,948.16 and 6,027.74

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Solution

The fourth proportional to 9,385.39, 12,948.16 and 6,027.74 is: 8,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.39 : 12,948.16 = 6,027.74 : x
  2. Step 2: Convert to fraction form
    9,385.39/12,948.16 = 6,027.74/x
  3. Step 3: Cross multiply
    9,385.39x = 12,948.16 × 6,027.74
  4. Step 4: Simplify right side
    9,385.39x = 78,048,126.89
  5. Step 5: Solve for x
    x = 78,048,126.89/9,385.39
  6. Step 6: Final answer
    x = 8,315.92

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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.