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Finding the Fourth Proportional to 9,715.24, 13,409.22 and 5,523.88

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Solution

The fourth proportional to 9,715.24, 13,409.22 and 5,523.88 is: 7,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.24 : 13,409.22 = 5,523.88 : x
  2. Step 2: Convert to fraction form
    9,715.24/13,409.22 = 5,523.88/x
  3. Step 3: Cross multiply
    9,715.24x = 13,409.22 × 5,523.88
  4. Step 4: Simplify right side
    9,715.24x = 74,070,922.17
  5. Step 5: Solve for x
    x = 74,070,922.17/9,715.24
  6. Step 6: Final answer
    x = 7,624.20

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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.