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Finding the Fourth Proportional to 6,304.06, 9,461.13 and 2,841.58

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Solution

The fourth proportional to 6,304.06, 9,461.13 and 2,841.58 is: 4,264.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.06 : 9,461.13 = 2,841.58 : x
  2. Step 2: Convert to fraction form
    6,304.06/9,461.13 = 2,841.58/x
  3. Step 3: Cross multiply
    6,304.06x = 9,461.13 × 2,841.58
  4. Step 4: Simplify right side
    6,304.06x = 26,884,557.79
  5. Step 5: Solve for x
    x = 26,884,557.79/6,304.06
  6. Step 6: Final answer
    x = 4,264.64

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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.