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Finding the Fourth Proportional to 9,594.90, 13,241.28 and 5,616.18

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Solution

The fourth proportional to 9,594.90, 13,241.28 and 5,616.18 is: 7,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.90 : 13,241.28 = 5,616.18 : x
  2. Step 2: Convert to fraction form
    9,594.90/13,241.28 = 5,616.18/x
  3. Step 3: Cross multiply
    9,594.90x = 13,241.28 × 5,616.18
  4. Step 4: Simplify right side
    9,594.90x = 74,365,411.91
  5. Step 5: Solve for x
    x = 74,365,411.91/9,594.90
  6. Step 6: Final answer
    x = 7,750.51

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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.