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Finding the Fourth Proportional to 9,170.56, 13,754.08 and 2,595.16

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Solution

The fourth proportional to 9,170.56, 13,754.08 and 2,595.16 is: 3,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.56 : 13,754.08 = 2,595.16 : x
  2. Step 2: Convert to fraction form
    9,170.56/13,754.08 = 2,595.16/x
  3. Step 3: Cross multiply
    9,170.56x = 13,754.08 × 2,595.16
  4. Step 4: Simplify right side
    9,170.56x = 35,694,038.25
  5. Step 5: Solve for x
    x = 35,694,038.25/9,170.56
  6. Step 6: Final answer
    x = 3,892.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.