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Finding the Fourth Proportional to 9,191.84, 12,689.04 and 5,881.76

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Solution

The fourth proportional to 9,191.84, 12,689.04 and 5,881.76 is: 8,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.84 : 12,689.04 = 5,881.76 : x
  2. Step 2: Convert to fraction form
    9,191.84/12,689.04 = 5,881.76/x
  3. Step 3: Cross multiply
    9,191.84x = 12,689.04 × 5,881.76
  4. Step 4: Simplify right side
    9,191.84x = 74,633,887.91
  5. Step 5: Solve for x
    x = 74,633,887.91/9,191.84
  6. Step 6: Final answer
    x = 8,119.58

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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.