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Finding the Fourth Proportional to 7,133.45, 9,842.10 and 4,299.47

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Solution

The fourth proportional to 7,133.45, 9,842.10 and 4,299.47 is: 5,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.45 : 9,842.10 = 4,299.47 : x
  2. Step 2: Convert to fraction form
    7,133.45/9,842.10 = 4,299.47/x
  3. Step 3: Cross multiply
    7,133.45x = 9,842.10 × 4,299.47
  4. Step 4: Simplify right side
    7,133.45x = 42,315,764.48
  5. Step 5: Solve for x
    x = 42,315,764.48/7,133.45
  6. Step 6: Final answer
    x = 5,932.02

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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.