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Finding the Fourth Proportional to 9,648.56, 13,314.84 and 5,456.72

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Solution

The fourth proportional to 9,648.56, 13,314.84 and 5,456.72 is: 7,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.56 : 13,314.84 = 5,456.72 : x
  2. Step 2: Convert to fraction form
    9,648.56/13,314.84 = 5,456.72/x
  3. Step 3: Cross multiply
    9,648.56x = 13,314.84 × 5,456.72
  4. Step 4: Simplify right side
    9,648.56x = 72,655,353.72
  5. Step 5: Solve for x
    x = 72,655,353.72/9,648.56
  6. Step 6: Final answer
    x = 7,530.18

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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.