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Finding the Fourth Proportional to 7,156.26, 9,873.61 and 4,638.47

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Solution

The fourth proportional to 7,156.26, 9,873.61 and 4,638.47 is: 6,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.26 : 9,873.61 = 4,638.47 : x
  2. Step 2: Convert to fraction form
    7,156.26/9,873.61 = 4,638.47/x
  3. Step 3: Cross multiply
    7,156.26x = 9,873.61 × 4,638.47
  4. Step 4: Simplify right side
    7,156.26x = 45,798,443.78
  5. Step 5: Solve for x
    x = 45,798,443.78/7,156.26
  6. Step 6: Final answer
    x = 6,399.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.