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Finding the Fourth Proportional to 8,961.90, 12,364.14 and 5,423.82

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Solution

The fourth proportional to 8,961.90, 12,364.14 and 5,423.82 is: 7,482.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,961.90 : 12,364.14 = 5,423.82 : x
  2. Step 2: Convert to fraction form
    8,961.90/12,364.14 = 5,423.82/x
  3. Step 3: Cross multiply
    8,961.90x = 12,364.14 × 5,423.82
  4. Step 4: Simplify right side
    8,961.90x = 67,060,869.81
  5. Step 5: Solve for x
    x = 67,060,869.81/8,961.90
  6. Step 6: Final answer
    x = 7,482.89

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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.