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Finding the Fourth Proportional to 9,748.81, 13,452.46 and 5,970.25

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Solution

The fourth proportional to 9,748.81, 13,452.46 and 5,970.25 is: 8,238.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.81 : 13,452.46 = 5,970.25 : x
  2. Step 2: Convert to fraction form
    9,748.81/13,452.46 = 5,970.25/x
  3. Step 3: Cross multiply
    9,748.81x = 13,452.46 × 5,970.25
  4. Step 4: Simplify right side
    9,748.81x = 80,314,549.32
  5. Step 5: Solve for x
    x = 80,314,549.32/9,748.81
  6. Step 6: Final answer
    x = 8,238.40

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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.