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Finding the Fourth Proportional to 9,931.92, 13,708.35 and 6,750.42

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Solution

The fourth proportional to 9,931.92, 13,708.35 and 6,750.42 is: 9,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,931.92 : 13,708.35 = 6,750.42 : x
  2. Step 2: Convert to fraction form
    9,931.92/13,708.35 = 6,750.42/x
  3. Step 3: Cross multiply
    9,931.92x = 13,708.35 × 6,750.42
  4. Step 4: Simplify right side
    9,931.92x = 92,537,120.01
  5. Step 5: Solve for x
    x = 92,537,120.01/9,931.92
  6. Step 6: Final answer
    x = 9,317.14

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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.