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Finding the Fourth Proportional to 9,102.70, 13,663.18 and 4,175.88

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Solution

The fourth proportional to 9,102.70, 13,663.18 and 4,175.88 is: 6,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.70 : 13,663.18 = 4,175.88 : x
  2. Step 2: Convert to fraction form
    9,102.70/13,663.18 = 4,175.88/x
  3. Step 3: Cross multiply
    9,102.70x = 13,663.18 × 4,175.88
  4. Step 4: Simplify right side
    9,102.70x = 57,055,800.10
  5. Step 5: Solve for x
    x = 57,055,800.10/9,102.70
  6. Step 6: Final answer
    x = 6,268.01

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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.