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Finding the Fourth Proportional to 9,088.56, 13,638.12 and 3,823.19

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Solution

The fourth proportional to 9,088.56, 13,638.12 and 3,823.19 is: 5,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.56 : 13,638.12 = 3,823.19 : x
  2. Step 2: Convert to fraction form
    9,088.56/13,638.12 = 3,823.19/x
  3. Step 3: Cross multiply
    9,088.56x = 13,638.12 × 3,823.19
  4. Step 4: Simplify right side
    9,088.56x = 52,141,124.00
  5. Step 5: Solve for x
    x = 52,141,124.00/9,088.56
  6. Step 6: Final answer
    x = 5,737.01

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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.