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Finding the Fourth Proportional to 9,523.74, 13,141.52 and 5,332

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Solution

The fourth proportional to 9,523.74, 13,141.52 and 5,332 is: 7,357.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.74 : 13,141.52 = 5,332 : x
  2. Step 2: Convert to fraction form
    9,523.74/13,141.52 = 5,332/x
  3. Step 3: Cross multiply
    9,523.74x = 13,141.52 × 5,332
  4. Step 4: Simplify right side
    9,523.74x = 70,070,584.64
  5. Step 5: Solve for x
    x = 70,070,584.64/9,523.74
  6. Step 6: Final answer
    x = 7,357.47

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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.