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Finding the Fourth Proportional to 9,101.44, 12,560 and 5,123.20

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Solution

The fourth proportional to 9,101.44, 12,560 and 5,123.20 is: 7,070.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.44 : 12,560 = 5,123.20 : x
  2. Step 2: Convert to fraction form
    9,101.44/12,560 = 5,123.20/x
  3. Step 3: Cross multiply
    9,101.44x = 12,560 × 5,123.20
  4. Step 4: Simplify right side
    9,101.44x = 64,347,392
  5. Step 5: Solve for x
    x = 64,347,392/9,101.44
  6. Step 6: Final answer
    x = 7,070.02

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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.