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Finding the Fourth Proportional to 9,748.56, 13,452.24 and 5,970.18

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Solution

The fourth proportional to 9,748.56, 13,452.24 and 5,970.18 is: 8,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.56 : 13,452.24 = 5,970.18 : x
  2. Step 2: Convert to fraction form
    9,748.56/13,452.24 = 5,970.18/x
  3. Step 3: Cross multiply
    9,748.56x = 13,452.24 × 5,970.18
  4. Step 4: Simplify right side
    9,748.56x = 80,312,294.20
  5. Step 5: Solve for x
    x = 80,312,294.20/9,748.56
  6. Step 6: Final answer
    x = 8,238.38

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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.