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Finding the Fourth Proportional to 9,139.64, 13,709.18 and 2,565.68

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Solution

The fourth proportional to 9,139.64, 13,709.18 and 2,565.68 is: 3,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.64 : 13,709.18 = 2,565.68 : x
  2. Step 2: Convert to fraction form
    9,139.64/13,709.18 = 2,565.68/x
  3. Step 3: Cross multiply
    9,139.64x = 13,709.18 × 2,565.68
  4. Step 4: Simplify right side
    9,139.64x = 35,173,368.94
  5. Step 5: Solve for x
    x = 35,173,368.94/9,139.64
  6. Step 6: Final answer
    x = 3,848.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.