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Finding the Fourth Proportional to 6,436.67, 9,656.48 and 2,740.10

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Solution

The fourth proportional to 6,436.67, 9,656.48 and 2,740.10 is: 4,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.67 : 9,656.48 = 2,740.10 : x
  2. Step 2: Convert to fraction form
    6,436.67/9,656.48 = 2,740.10/x
  3. Step 3: Cross multiply
    6,436.67x = 9,656.48 × 2,740.10
  4. Step 4: Simplify right side
    6,436.67x = 26,459,679.42
  5. Step 5: Solve for x
    x = 26,459,679.42/6,436.67
  6. Step 6: Final answer
    x = 4,110.77

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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.