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Finding the Fourth Proportional to 9,773.34, 13,486.14 and 5,580.78

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Solution

The fourth proportional to 9,773.34, 13,486.14 and 5,580.78 is: 7,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.34 : 13,486.14 = 5,580.78 : x
  2. Step 2: Convert to fraction form
    9,773.34/13,486.14 = 5,580.78/x
  3. Step 3: Cross multiply
    9,773.34x = 13,486.14 × 5,580.78
  4. Step 4: Simplify right side
    9,773.34x = 75,263,180.39
  5. Step 5: Solve for x
    x = 75,263,180.39/9,773.34
  6. Step 6: Final answer
    x = 7,700.87

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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.