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Finding the Fourth Proportional to 9,617.56, 13,257.07 and 7,091.58

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Solution

The fourth proportional to 9,617.56, 13,257.07 and 7,091.58 is: 9,775.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.56 : 13,257.07 = 7,091.58 : x
  2. Step 2: Convert to fraction form
    9,617.56/13,257.07 = 7,091.58/x
  3. Step 3: Cross multiply
    9,617.56x = 13,257.07 × 7,091.58
  4. Step 4: Simplify right side
    9,617.56x = 94,013,572.47
  5. Step 5: Solve for x
    x = 94,013,572.47/9,617.56
  6. Step 6: Final answer
    x = 9,775.20

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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.