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Finding the Fourth Proportional to 9,965.13, 13,751.88 and 5,775.81

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Solution

The fourth proportional to 9,965.13, 13,751.88 and 5,775.81 is: 7,970.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.13 : 13,751.88 = 5,775.81 : x
  2. Step 2: Convert to fraction form
    9,965.13/13,751.88 = 5,775.81/x
  3. Step 3: Cross multiply
    9,965.13x = 13,751.88 × 5,775.81
  4. Step 4: Simplify right side
    9,965.13x = 79,428,148.38
  5. Step 5: Solve for x
    x = 79,428,148.38/9,965.13
  6. Step 6: Final answer
    x = 7,970.61

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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.