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Finding the Fourth Proportional to 9,854.56, 14,787.28 and 4,015.28

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Solution

The fourth proportional to 9,854.56, 14,787.28 and 4,015.28 is: 6,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.56 : 14,787.28 = 4,015.28 : x
  2. Step 2: Convert to fraction form
    9,854.56/14,787.28 = 4,015.28/x
  3. Step 3: Cross multiply
    9,854.56x = 14,787.28 × 4,015.28
  4. Step 4: Simplify right side
    9,854.56x = 59,375,069.64
  5. Step 5: Solve for x
    x = 59,375,069.64/9,854.56
  6. Step 6: Final answer
    x = 6,025.14

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Why These Related Problems?

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