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Finding the Fourth Proportional to 6,444.28, 9,667.98 and 4,590.76

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Solution

The fourth proportional to 6,444.28, 9,667.98 and 4,590.76 is: 6,887.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.28 : 9,667.98 = 4,590.76 : x
  2. Step 2: Convert to fraction form
    6,444.28/9,667.98 = 4,590.76/x
  3. Step 3: Cross multiply
    6,444.28x = 9,667.98 × 4,590.76
  4. Step 4: Simplify right side
    6,444.28x = 44,383,375.86
  5. Step 5: Solve for x
    x = 44,383,375.86/6,444.28
  6. Step 6: Final answer
    x = 6,887.25

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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.