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Finding the Fourth Proportional to 6,341.58, 9,514.02 and 2,444.70

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Solution

The fourth proportional to 6,341.58, 9,514.02 and 2,444.70 is: 3,667.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.58 : 9,514.02 = 2,444.70 : x
  2. Step 2: Convert to fraction form
    6,341.58/9,514.02 = 2,444.70/x
  3. Step 3: Cross multiply
    6,341.58x = 9,514.02 × 2,444.70
  4. Step 4: Simplify right side
    6,341.58x = 23,258,924.69
  5. Step 5: Solve for x
    x = 23,258,924.69/6,341.58
  6. Step 6: Final answer
    x = 3,667.69

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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.