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Finding the Fourth Proportional to 9,920.10, 13,689.28 and 5,443.74

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Solution

The fourth proportional to 9,920.10, 13,689.28 and 5,443.74 is: 7,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.10 : 13,689.28 = 5,443.74 : x
  2. Step 2: Convert to fraction form
    9,920.10/13,689.28 = 5,443.74/x
  3. Step 3: Cross multiply
    9,920.10x = 13,689.28 × 5,443.74
  4. Step 4: Simplify right side
    9,920.10x = 74,520,881.11
  5. Step 5: Solve for x
    x = 74,520,881.11/9,920.10
  6. Step 6: Final answer
    x = 7,512.11

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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.