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Finding the Fourth Proportional to 9,575.14, 13,211.78 and 5,595.48

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Solution

The fourth proportional to 9,575.14, 13,211.78 and 5,595.48 is: 7,720.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.14 : 13,211.78 = 5,595.48 : x
  2. Step 2: Convert to fraction form
    9,575.14/13,211.78 = 5,595.48/x
  3. Step 3: Cross multiply
    9,575.14x = 13,211.78 × 5,595.48
  4. Step 4: Simplify right side
    9,575.14x = 73,926,250.75
  5. Step 5: Solve for x
    x = 73,926,250.75/9,575.14
  6. Step 6: Final answer
    x = 7,720.64

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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.