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Finding the Fourth Proportional to 9,952, 13,733.12 and 5,761.60

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Solution

The fourth proportional to 9,952, 13,733.12 and 5,761.60 is: 7,950.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952 : 13,733.12 = 5,761.60 : x
  2. Step 2: Convert to fraction form
    9,952/13,733.12 = 5,761.60/x
  3. Step 3: Cross multiply
    9,952x = 13,733.12 × 5,761.60
  4. Step 4: Simplify right side
    9,952x = 79,124,744.19
  5. Step 5: Solve for x
    x = 79,124,744.19/9,952
  6. Step 6: Final answer
    x = 7,950.64

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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.