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Finding the Fourth Proportional to 9,138.93, 13,709.60 and 2,565.17

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Solution

The fourth proportional to 9,138.93, 13,709.60 and 2,565.17 is: 3,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.93 : 13,709.60 = 2,565.17 : x
  2. Step 2: Convert to fraction form
    9,138.93/13,709.60 = 2,565.17/x
  3. Step 3: Cross multiply
    9,138.93x = 13,709.60 × 2,565.17
  4. Step 4: Simplify right side
    9,138.93x = 35,167,448.72
  5. Step 5: Solve for x
    x = 35,167,448.72/9,138.93
  6. Step 6: Final answer
    x = 3,848.09

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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.