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Finding the Fourth Proportional to 9,089.42, 13,626.78 and 4,088.13

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Solution

The fourth proportional to 9,089.42, 13,626.78 and 4,088.13 is: 6,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.42 : 13,626.78 = 4,088.13 : x
  2. Step 2: Convert to fraction form
    9,089.42/13,626.78 = 4,088.13/x
  3. Step 3: Cross multiply
    9,089.42x = 13,626.78 × 4,088.13
  4. Step 4: Simplify right side
    9,089.42x = 55,708,043.01
  5. Step 5: Solve for x
    x = 55,708,043.01/9,089.42
  6. Step 6: Final answer
    x = 6,128.89

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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.