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Finding the Fourth Proportional to 9,580.86, 13,221.83 and 5,332.20

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Solution

The fourth proportional to 9,580.86, 13,221.83 and 5,332.20 is: 7,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.86 : 13,221.83 = 5,332.20 : x
  2. Step 2: Convert to fraction form
    9,580.86/13,221.83 = 5,332.20/x
  3. Step 3: Cross multiply
    9,580.86x = 13,221.83 × 5,332.20
  4. Step 4: Simplify right side
    9,580.86x = 70,501,441.93
  5. Step 5: Solve for x
    x = 70,501,441.93/9,580.86
  6. Step 6: Final answer
    x = 7,358.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.