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Finding the Fourth Proportional to 9,797.84, 13,521.07 and 5,321.59

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Solution

The fourth proportional to 9,797.84, 13,521.07 and 5,321.59 is: 7,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.84 : 13,521.07 = 5,321.59 : x
  2. Step 2: Convert to fraction form
    9,797.84/13,521.07 = 5,321.59/x
  3. Step 3: Cross multiply
    9,797.84x = 13,521.07 × 5,321.59
  4. Step 4: Simplify right side
    9,797.84x = 71,953,590.90
  5. Step 5: Solve for x
    x = 71,953,590.90/9,797.84
  6. Step 6: Final answer
    x = 7,343.82

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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.