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Finding the Fourth Proportional to 9,358.87, 14,040.33 and 2,785.60

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Solution

The fourth proportional to 9,358.87, 14,040.33 and 2,785.60 is: 4,179.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.87 : 14,040.33 = 2,785.60 : x
  2. Step 2: Convert to fraction form
    9,358.87/14,040.33 = 2,785.60/x
  3. Step 3: Cross multiply
    9,358.87x = 14,040.33 × 2,785.60
  4. Step 4: Simplify right side
    9,358.87x = 39,110,743.25
  5. Step 5: Solve for x
    x = 39,110,743.25/9,358.87
  6. Step 6: Final answer
    x = 4,179.00

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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.