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Finding the Fourth Proportional to 9,229.40, 13,835.86 and 4,031.16

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Solution

The fourth proportional to 9,229.40, 13,835.86 and 4,031.16 is: 6,043.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.40 : 13,835.86 = 4,031.16 : x
  2. Step 2: Convert to fraction form
    9,229.40/13,835.86 = 4,031.16/x
  3. Step 3: Cross multiply
    9,229.40x = 13,835.86 × 4,031.16
  4. Step 4: Simplify right side
    9,229.40x = 55,774,565.40
  5. Step 5: Solve for x
    x = 55,774,565.40/9,229.40
  6. Step 6: Final answer
    x = 6,043.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.