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Finding the Fourth Proportional to 9,715.56, 13,405.95 and 5,523

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Solution

The fourth proportional to 9,715.56, 13,405.95 and 5,523 is: 7,620.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.56 : 13,405.95 = 5,523 : x
  2. Step 2: Convert to fraction form
    9,715.56/13,405.95 = 5,523/x
  3. Step 3: Cross multiply
    9,715.56x = 13,405.95 × 5,523
  4. Step 4: Simplify right side
    9,715.56x = 74,041,061.85
  5. Step 5: Solve for x
    x = 74,041,061.85/9,715.56
  6. Step 6: Final answer
    x = 7,620.87

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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.