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Finding the Fourth Proportional to 8,931.57, 12,330.45 and 5,906.84

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Solution

The fourth proportional to 8,931.57, 12,330.45 and 5,906.84 is: 8,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.57 : 12,330.45 = 5,906.84 : x
  2. Step 2: Convert to fraction form
    8,931.57/12,330.45 = 5,906.84/x
  3. Step 3: Cross multiply
    8,931.57x = 12,330.45 × 5,906.84
  4. Step 4: Simplify right side
    8,931.57x = 72,833,933.63
  5. Step 5: Solve for x
    x = 72,833,933.63/8,931.57
  6. Step 6: Final answer
    x = 8,154.66

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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.