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Finding the Fourth Proportional to 9,557.68, 13,181.70 and 5,780.68

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Solution

The fourth proportional to 9,557.68, 13,181.70 and 5,780.68 is: 7,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.68 : 13,181.70 = 5,780.68 : x
  2. Step 2: Convert to fraction form
    9,557.68/13,181.70 = 5,780.68/x
  3. Step 3: Cross multiply
    9,557.68x = 13,181.70 × 5,780.68
  4. Step 4: Simplify right side
    9,557.68x = 76,199,189.56
  5. Step 5: Solve for x
    x = 76,199,189.56/9,557.68
  6. Step 6: Final answer
    x = 7,972.56

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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.