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Finding the Fourth Proportional to 9,089.42, 13,607.60 and 5,329.80

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Solution

The fourth proportional to 9,089.42, 13,607.60 and 5,329.80 is: 7,979.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.42 : 13,607.60 = 5,329.80 : x
  2. Step 2: Convert to fraction form
    9,089.42/13,607.60 = 5,329.80/x
  3. Step 3: Cross multiply
    9,089.42x = 13,607.60 × 5,329.80
  4. Step 4: Simplify right side
    9,089.42x = 72,525,759.83
  5. Step 5: Solve for x
    x = 72,525,759.83/9,089.42
  6. Step 6: Final answer
    x = 7,979.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.