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Finding the Fourth Proportional to 9,498.80, 13,109.62 and 7,136.84

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Solution

The fourth proportional to 9,498.80, 13,109.62 and 7,136.84 is: 9,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.80 : 13,109.62 = 7,136.84 : x
  2. Step 2: Convert to fraction form
    9,498.80/13,109.62 = 7,136.84/x
  3. Step 3: Cross multiply
    9,498.80x = 13,109.62 × 7,136.84
  4. Step 4: Simplify right side
    9,498.80x = 93,561,260.40
  5. Step 5: Solve for x
    x = 93,561,260.40/9,498.80
  6. Step 6: Final answer
    x = 9,849.80

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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.