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Finding the Fourth Proportional to 9,192.96, 12,686.34 and 5,001.24

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Solution

The fourth proportional to 9,192.96, 12,686.34 and 5,001.24 is: 6,901.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.96 : 12,686.34 = 5,001.24 : x
  2. Step 2: Convert to fraction form
    9,192.96/12,686.34 = 5,001.24/x
  3. Step 3: Cross multiply
    9,192.96x = 12,686.34 × 5,001.24
  4. Step 4: Simplify right side
    9,192.96x = 63,447,431.06
  5. Step 5: Solve for x
    x = 63,447,431.06/9,192.96
  6. Step 6: Final answer
    x = 6,901.74

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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.