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Finding the Fourth Proportional to 8,923.96, 12,314.19 and 5,147.47

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Solution

The fourth proportional to 8,923.96, 12,314.19 and 5,147.47 is: 7,103.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.96 : 12,314.19 = 5,147.47 : x
  2. Step 2: Convert to fraction form
    8,923.96/12,314.19 = 5,147.47/x
  3. Step 3: Cross multiply
    8,923.96x = 12,314.19 × 5,147.47
  4. Step 4: Simplify right side
    8,923.96x = 63,386,923.60
  5. Step 5: Solve for x
    x = 63,386,923.60/8,923.96
  6. Step 6: Final answer
    x = 7,103.00

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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.