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Finding the Fourth Proportional to 9,342.75, 12,904.16 and 6,820.81

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Solution

The fourth proportional to 9,342.75, 12,904.16 and 6,820.81 is: 9,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.75 : 12,904.16 = 6,820.81 : x
  2. Step 2: Convert to fraction form
    9,342.75/12,904.16 = 6,820.81/x
  3. Step 3: Cross multiply
    9,342.75x = 12,904.16 × 6,820.81
  4. Step 4: Simplify right side
    9,342.75x = 88,016,823.57
  5. Step 5: Solve for x
    x = 88,016,823.57/9,342.75
  6. Step 6: Final answer
    x = 9,420.87

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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.