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Finding the Fourth Proportional to 6,459.04, 9,689.82 and 2,242.72

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Solution

The fourth proportional to 6,459.04, 9,689.82 and 2,242.72 is: 3,364.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.04 : 9,689.82 = 2,242.72 : x
  2. Step 2: Convert to fraction form
    6,459.04/9,689.82 = 2,242.72/x
  3. Step 3: Cross multiply
    6,459.04x = 9,689.82 × 2,242.72
  4. Step 4: Simplify right side
    6,459.04x = 21,731,553.11
  5. Step 5: Solve for x
    x = 21,731,553.11/6,459.04
  6. Step 6: Final answer
    x = 3,364.52

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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.