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Finding the Fourth Proportional to 9,162.88, 12,644.80 and 4,971.12

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Solution

The fourth proportional to 9,162.88, 12,644.80 and 4,971.12 is: 6,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.88 : 12,644.80 = 4,971.12 : x
  2. Step 2: Convert to fraction form
    9,162.88/12,644.80 = 4,971.12/x
  3. Step 3: Cross multiply
    9,162.88x = 12,644.80 × 4,971.12
  4. Step 4: Simplify right side
    9,162.88x = 62,858,818.18
  5. Step 5: Solve for x
    x = 62,858,818.18/9,162.88
  6. Step 6: Final answer
    x = 6,860.16

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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.