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Finding the Fourth Proportional to 9,575.22, 13,211.76 and 5,594.52

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Solution

The fourth proportional to 9,575.22, 13,211.76 and 5,594.52 is: 7,719.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.22 : 13,211.76 = 5,594.52 : x
  2. Step 2: Convert to fraction form
    9,575.22/13,211.76 = 5,594.52/x
  3. Step 3: Cross multiply
    9,575.22x = 13,211.76 × 5,594.52
  4. Step 4: Simplify right side
    9,575.22x = 73,913,455.56
  5. Step 5: Solve for x
    x = 73,913,455.56/9,575.22
  6. Step 6: Final answer
    x = 7,719.24

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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.