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Finding the Fourth Proportional to 9,715.68, 13,407.12 and 5,523.84

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Solution

The fourth proportional to 9,715.68, 13,407.12 and 5,523.84 is: 7,622.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.68 : 13,407.12 = 5,523.84 : x
  2. Step 2: Convert to fraction form
    9,715.68/13,407.12 = 5,523.84/x
  3. Step 3: Cross multiply
    9,715.68x = 13,407.12 × 5,523.84
  4. Step 4: Simplify right side
    9,715.68x = 74,058,785.74
  5. Step 5: Solve for x
    x = 74,058,785.74/9,715.68
  6. Step 6: Final answer
    x = 7,622.60

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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.