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Finding the Fourth Proportional to 9,306.17, 12,838.52 and 5,719.19

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Solution

The fourth proportional to 9,306.17, 12,838.52 and 5,719.19 is: 7,890.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.17 : 12,838.52 = 5,719.19 : x
  2. Step 2: Convert to fraction form
    9,306.17/12,838.52 = 5,719.19/x
  3. Step 3: Cross multiply
    9,306.17x = 12,838.52 × 5,719.19
  4. Step 4: Simplify right side
    9,306.17x = 73,425,885.30
  5. Step 5: Solve for x
    x = 73,425,885.30/9,306.17
  6. Step 6: Final answer
    x = 7,890.03

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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.