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Finding the Fourth Proportional to 7,128.06, 9,836.56 and 3,984.24

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Solution

The fourth proportional to 7,128.06, 9,836.56 and 3,984.24 is: 5,498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.06 : 9,836.56 = 3,984.24 : x
  2. Step 2: Convert to fraction form
    7,128.06/9,836.56 = 3,984.24/x
  3. Step 3: Cross multiply
    7,128.06x = 9,836.56 × 3,984.24
  4. Step 4: Simplify right side
    7,128.06x = 39,191,215.81
  5. Step 5: Solve for x
    x = 39,191,215.81/7,128.06
  6. Step 6: Final answer
    x = 5,498.16

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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.