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Finding the Fourth Proportional to 7,076.04, 9,764.54 and 3,932.16

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Solution

The fourth proportional to 7,076.04, 9,764.54 and 3,932.16 is: 5,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.04 : 9,764.54 = 3,932.16 : x
  2. Step 2: Convert to fraction form
    7,076.04/9,764.54 = 3,932.16/x
  3. Step 3: Cross multiply
    7,076.04x = 9,764.54 × 3,932.16
  4. Step 4: Simplify right side
    7,076.04x = 38,395,733.61
  5. Step 5: Solve for x
    x = 38,395,733.61/7,076.04
  6. Step 6: Final answer
    x = 5,426.16

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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.