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Finding the Fourth Proportional to 8,923.62, 12,314.42 and 5,386.98

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Solution

The fourth proportional to 8,923.62, 12,314.42 and 5,386.98 is: 7,433.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,923.62 : 12,314.42 = 5,386.98 : x
  2. Step 2: Convert to fraction form
    8,923.62/12,314.42 = 5,386.98/x
  3. Step 3: Cross multiply
    8,923.62x = 12,314.42 × 5,386.98
  4. Step 4: Simplify right side
    8,923.62x = 66,337,534.25
  5. Step 5: Solve for x
    x = 66,337,534.25/8,923.62
  6. Step 6: Final answer
    x = 7,433.93

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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.