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Finding the Fourth Proportional to 9,973.92, 13,764.34 and 5,497.84

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Solution

The fourth proportional to 9,973.92, 13,764.34 and 5,497.84 is: 7,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.92 : 13,764.34 = 5,497.84 : x
  2. Step 2: Convert to fraction form
    9,973.92/13,764.34 = 5,497.84/x
  3. Step 3: Cross multiply
    9,973.92x = 13,764.34 × 5,497.84
  4. Step 4: Simplify right side
    9,973.92x = 75,674,139.03
  5. Step 5: Solve for x
    x = 75,674,139.03/9,973.92
  6. Step 6: Final answer
    x = 7,587.20

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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.