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Finding the Fourth Proportional to 9,920.90, 13,690.89 and 5,445.15

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Solution

The fourth proportional to 9,920.90, 13,690.89 and 5,445.15 is: 7,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.90 : 13,690.89 = 5,445.15 : x
  2. Step 2: Convert to fraction form
    9,920.90/13,690.89 = 5,445.15/x
  3. Step 3: Cross multiply
    9,920.90x = 13,690.89 × 5,445.15
  4. Step 4: Simplify right side
    9,920.90x = 74,548,854.00
  5. Step 5: Solve for x
    x = 74,548,854.00/9,920.90
  6. Step 6: Final answer
    x = 7,514.32

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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.