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Finding the Fourth Proportional to 9,088.40, 13,616.40 and 8,546.24

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Solution

The fourth proportional to 9,088.40, 13,616.40 and 8,546.24 is: 12,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,088.40 : 13,616.40 = 8,546.24 : x
  2. Step 2: Convert to fraction form
    9,088.40/13,616.40 = 8,546.24/x
  3. Step 3: Cross multiply
    9,088.40x = 13,616.40 × 8,546.24
  4. Step 4: Simplify right side
    9,088.40x = 116,369,022.34
  5. Step 5: Solve for x
    x = 116,369,022.34/9,088.40
  6. Step 6: Final answer
    x = 12,804.13

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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.