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Finding the Fourth Proportional to 9,014.64, 12,439.38 and 5,035.20

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Solution

The fourth proportional to 9,014.64, 12,439.38 and 5,035.20 is: 6,948.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.64 : 12,439.38 = 5,035.20 : x
  2. Step 2: Convert to fraction form
    9,014.64/12,439.38 = 5,035.20/x
  3. Step 3: Cross multiply
    9,014.64x = 12,439.38 × 5,035.20
  4. Step 4: Simplify right side
    9,014.64x = 62,634,766.18
  5. Step 5: Solve for x
    x = 62,634,766.18/9,014.64
  6. Step 6: Final answer
    x = 6,948.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.