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Finding the Fourth Proportional to 6,152.61, 9,223.02 and 2,645.13

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Solution

The fourth proportional to 6,152.61, 9,223.02 and 2,645.13 is: 3,965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.61 : 9,223.02 = 2,645.13 : x
  2. Step 2: Convert to fraction form
    6,152.61/9,223.02 = 2,645.13/x
  3. Step 3: Cross multiply
    6,152.61x = 9,223.02 × 2,645.13
  4. Step 4: Simplify right side
    6,152.61x = 24,396,086.89
  5. Step 5: Solve for x
    x = 24,396,086.89/6,152.61
  6. Step 6: Final answer
    x = 3,965.16

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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.