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Finding the Fourth Proportional to 6,459.90, 9,673.65 and 4,256.70

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Solution

The fourth proportional to 6,459.90, 9,673.65 and 4,256.70 is: 6,374.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.90 : 9,673.65 = 4,256.70 : x
  2. Step 2: Convert to fraction form
    6,459.90/9,673.65 = 4,256.70/x
  3. Step 3: Cross multiply
    6,459.90x = 9,673.65 × 4,256.70
  4. Step 4: Simplify right side
    6,459.90x = 41,177,825.96
  5. Step 5: Solve for x
    x = 41,177,825.96/6,459.90
  6. Step 6: Final answer
    x = 6,374.38

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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.