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Finding the Fourth Proportional to 9,243.84, 13,868 and 3,088.32

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Solution

The fourth proportional to 9,243.84, 13,868 and 3,088.32 is: 4,633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.84 : 13,868 = 3,088.32 : x
  2. Step 2: Convert to fraction form
    9,243.84/13,868 = 3,088.32/x
  3. Step 3: Cross multiply
    9,243.84x = 13,868 × 3,088.32
  4. Step 4: Simplify right side
    9,243.84x = 42,828,821.76
  5. Step 5: Solve for x
    x = 42,828,821.76/9,243.84
  6. Step 6: Final answer
    x = 4,633.23

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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.