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Finding the Fourth Proportional to 8,963.56, 13,443.71 and 4,032.32

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Solution

The fourth proportional to 8,963.56, 13,443.71 and 4,032.32 is: 6,047.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.56 : 13,443.71 = 4,032.32 : x
  2. Step 2: Convert to fraction form
    8,963.56/13,443.71 = 4,032.32/x
  3. Step 3: Cross multiply
    8,963.56x = 13,443.71 × 4,032.32
  4. Step 4: Simplify right side
    8,963.56x = 54,209,253.33
  5. Step 5: Solve for x
    x = 54,209,253.33/8,963.56
  6. Step 6: Final answer
    x = 6,047.74

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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.