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Finding the Fourth Proportional to 9,641.53, 13,301.50 and 6,054.38

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Solution

The fourth proportional to 9,641.53, 13,301.50 and 6,054.38 is: 8,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.53 : 13,301.50 = 6,054.38 : x
  2. Step 2: Convert to fraction form
    9,641.53/13,301.50 = 6,054.38/x
  3. Step 3: Cross multiply
    9,641.53x = 13,301.50 × 6,054.38
  4. Step 4: Simplify right side
    9,641.53x = 80,532,335.57
  5. Step 5: Solve for x
    x = 80,532,335.57/9,641.53
  6. Step 6: Final answer
    x = 8,352.65

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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.