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Finding the Fourth Proportional to 9,358.12, 12,919.46 and 6,491.02

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Solution

The fourth proportional to 9,358.12, 12,919.46 and 6,491.02 is: 8,961.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.12 : 12,919.46 = 6,491.02 : x
  2. Step 2: Convert to fraction form
    9,358.12/12,919.46 = 6,491.02/x
  3. Step 3: Cross multiply
    9,358.12x = 12,919.46 × 6,491.02
  4. Step 4: Simplify right side
    9,358.12x = 83,860,432.72
  5. Step 5: Solve for x
    x = 83,860,432.72/9,358.12
  6. Step 6: Final answer
    x = 8,961.25

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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.