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Finding the Fourth Proportional to 9,565.44, 14,345.37 and 3,720.66

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Solution

The fourth proportional to 9,565.44, 14,345.37 and 3,720.66 is: 5,579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.44 : 14,345.37 = 3,720.66 : x
  2. Step 2: Convert to fraction form
    9,565.44/14,345.37 = 3,720.66/x
  3. Step 3: Cross multiply
    9,565.44x = 14,345.37 × 3,720.66
  4. Step 4: Simplify right side
    9,565.44x = 53,374,244.34
  5. Step 5: Solve for x
    x = 53,374,244.34/9,565.44
  6. Step 6: Final answer
    x = 5,579.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.