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Finding the Fourth Proportional to 9,566.76, 13,202.52 and 5,375

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Solution

The fourth proportional to 9,566.76, 13,202.52 and 5,375 is: 7,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.76 : 13,202.52 = 5,375 : x
  2. Step 2: Convert to fraction form
    9,566.76/13,202.52 = 5,375/x
  3. Step 3: Cross multiply
    9,566.76x = 13,202.52 × 5,375
  4. Step 4: Simplify right side
    9,566.76x = 70,963,545
  5. Step 5: Solve for x
    x = 70,963,545/9,566.76
  6. Step 6: Final answer
    x = 7,417.72

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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.