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Finding the Fourth Proportional to 6,293.84, 9,461.75 and 4,458.11

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Solution

The fourth proportional to 6,293.84, 9,461.75 and 4,458.11 is: 6,702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.84 : 9,461.75 = 4,458.11 : x
  2. Step 2: Convert to fraction form
    6,293.84/9,461.75 = 4,458.11/x
  3. Step 3: Cross multiply
    6,293.84x = 9,461.75 × 4,458.11
  4. Step 4: Simplify right side
    6,293.84x = 42,181,452.69
  5. Step 5: Solve for x
    x = 42,181,452.69/6,293.84
  6. Step 6: Final answer
    x = 6,702.03

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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.