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Finding the Fourth Proportional to 7,133.48, 9,842.54 and 4,147.64

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Solution

The fourth proportional to 7,133.48, 9,842.54 and 4,147.64 is: 5,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.48 : 9,842.54 = 4,147.64 : x
  2. Step 2: Convert to fraction form
    7,133.48/9,842.54 = 4,147.64/x
  3. Step 3: Cross multiply
    7,133.48x = 9,842.54 × 4,147.64
  4. Step 4: Simplify right side
    7,133.48x = 40,823,312.61
  5. Step 5: Solve for x
    x = 40,823,312.61/7,133.48
  6. Step 6: Final answer
    x = 5,722.78

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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.