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Finding the Fourth Proportional to 9,065.64, 13,594.82 and 2,823.60

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Solution

The fourth proportional to 9,065.64, 13,594.82 and 2,823.60 is: 4,234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.64 : 13,594.82 = 2,823.60 : x
  2. Step 2: Convert to fraction form
    9,065.64/13,594.82 = 2,823.60/x
  3. Step 3: Cross multiply
    9,065.64x = 13,594.82 × 2,823.60
  4. Step 4: Simplify right side
    9,065.64x = 38,386,333.75
  5. Step 5: Solve for x
    x = 38,386,333.75/9,065.64
  6. Step 6: Final answer
    x = 4,234.27

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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.