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Finding the Fourth Proportional to 8,931.88, 12,314.30 and 7,686.30

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Solution

The fourth proportional to 8,931.88, 12,314.30 and 7,686.30 is: 10,597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.88 : 12,314.30 = 7,686.30 : x
  2. Step 2: Convert to fraction form
    8,931.88/12,314.30 = 7,686.30/x
  3. Step 3: Cross multiply
    8,931.88x = 12,314.30 × 7,686.30
  4. Step 4: Simplify right side
    8,931.88x = 94,651,404.09
  5. Step 5: Solve for x
    x = 94,651,404.09/8,931.88
  6. Step 6: Final answer
    x = 10,597.03

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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.