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Finding the Fourth Proportional to 9,975.04, 13,764.92 and 5,498.54

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Solution

The fourth proportional to 9,975.04, 13,764.92 and 5,498.54 is: 7,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.04 : 13,764.92 = 5,498.54 : x
  2. Step 2: Convert to fraction form
    9,975.04/13,764.92 = 5,498.54/x
  3. Step 3: Cross multiply
    9,975.04x = 13,764.92 × 5,498.54
  4. Step 4: Simplify right side
    9,975.04x = 75,686,963.22
  5. Step 5: Solve for x
    x = 75,686,963.22/9,975.04
  6. Step 6: Final answer
    x = 7,587.64

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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.