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Finding the Fourth Proportional to 7,125.26, 9,832.98 and 4,140.01

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Solution

The fourth proportional to 7,125.26, 9,832.98 and 4,140.01 is: 5,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.26 : 9,832.98 = 4,140.01 : x
  2. Step 2: Convert to fraction form
    7,125.26/9,832.98 = 4,140.01/x
  3. Step 3: Cross multiply
    7,125.26x = 9,832.98 × 4,140.01
  4. Step 4: Simplify right side
    7,125.26x = 40,708,565.66
  5. Step 5: Solve for x
    x = 40,708,565.66/7,125.26
  6. Step 6: Final answer
    x = 5,713.27

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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.