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Finding the Fourth Proportional to 9,524.55, 13,143.74 and 5,332.95

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Solution

The fourth proportional to 9,524.55, 13,143.74 and 5,332.95 is: 7,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524.55 : 13,143.74 = 5,332.95 : x
  2. Step 2: Convert to fraction form
    9,524.55/13,143.74 = 5,332.95/x
  3. Step 3: Cross multiply
    9,524.55x = 13,143.74 × 5,332.95
  4. Step 4: Simplify right side
    9,524.55x = 70,094,881.57
  5. Step 5: Solve for x
    x = 70,094,881.57/9,524.55
  6. Step 6: Final answer
    x = 7,359.39

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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.