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Finding the Fourth Proportional to 9,681.13, 14,523.21 and 4,134.50

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Solution

The fourth proportional to 9,681.13, 14,523.21 and 4,134.50 is: 6,202.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.13 : 14,523.21 = 4,134.50 : x
  2. Step 2: Convert to fraction form
    9,681.13/14,523.21 = 4,134.50/x
  3. Step 3: Cross multiply
    9,681.13x = 14,523.21 × 4,134.50
  4. Step 4: Simplify right side
    9,681.13x = 60,046,211.75
  5. Step 5: Solve for x
    x = 60,046,211.75/9,681.13
  6. Step 6: Final answer
    x = 6,202.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.