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Finding the Fourth Proportional to 9,312.46, 12,856.17 and 5,778.70

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Solution

The fourth proportional to 9,312.46, 12,856.17 and 5,778.70 is: 7,977.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.46 : 12,856.17 = 5,778.70 : x
  2. Step 2: Convert to fraction form
    9,312.46/12,856.17 = 5,778.70/x
  3. Step 3: Cross multiply
    9,312.46x = 12,856.17 × 5,778.70
  4. Step 4: Simplify right side
    9,312.46x = 74,291,949.58
  5. Step 5: Solve for x
    x = 74,291,949.58/9,312.46
  6. Step 6: Final answer
    x = 7,977.69

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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.