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Finding the Fourth Proportional to 9,138.90, 13,707.29 and 2,565.65

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Solution

The fourth proportional to 9,138.90, 13,707.29 and 2,565.65 is: 3,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.90 : 13,707.29 = 2,565.65 : x
  2. Step 2: Convert to fraction form
    9,138.90/13,707.29 = 2,565.65/x
  3. Step 3: Cross multiply
    9,138.90x = 13,707.29 × 2,565.65
  4. Step 4: Simplify right side
    9,138.90x = 35,168,108.59
  5. Step 5: Solve for x
    x = 35,168,108.59/9,138.90
  6. Step 6: Final answer
    x = 3,848.18

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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.