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Finding the Fourth Proportional to 9,580.89, 13,221.72 and 5,332.13

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Solution

The fourth proportional to 9,580.89, 13,221.72 and 5,332.13 is: 7,358.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.89 : 13,221.72 = 5,332.13 : x
  2. Step 2: Convert to fraction form
    9,580.89/13,221.72 = 5,332.13/x
  3. Step 3: Cross multiply
    9,580.89x = 13,221.72 × 5,332.13
  4. Step 4: Simplify right side
    9,580.89x = 70,499,903.20
  5. Step 5: Solve for x
    x = 70,499,903.20/9,580.89
  6. Step 6: Final answer
    x = 7,358.39

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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.