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Finding the Fourth Proportional to 9,162.51, 12,635.92 and 7,749.16

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Solution

The fourth proportional to 9,162.51, 12,635.92 and 7,749.16 is: 10,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.51 : 12,635.92 = 7,749.16 : x
  2. Step 2: Convert to fraction form
    9,162.51/12,635.92 = 7,749.16/x
  3. Step 3: Cross multiply
    9,162.51x = 12,635.92 × 7,749.16
  4. Step 4: Simplify right side
    9,162.51x = 97,917,746.45
  5. Step 5: Solve for x
    x = 97,917,746.45/9,162.51
  6. Step 6: Final answer
    x = 10,686.78

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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.