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Finding the Fourth Proportional to 9,138.32, 13,709.50 and 2,898.74

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Solution

The fourth proportional to 9,138.32, 13,709.50 and 2,898.74 is: 4,348.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.32 : 13,709.50 = 2,898.74 : x
  2. Step 2: Convert to fraction form
    9,138.32/13,709.50 = 2,898.74/x
  3. Step 3: Cross multiply
    9,138.32x = 13,709.50 × 2,898.74
  4. Step 4: Simplify right side
    9,138.32x = 39,740,242.25
  5. Step 5: Solve for x
    x = 39,740,242.25/9,138.32
  6. Step 6: Final answer
    x = 4,348.75

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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.