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Finding the Fourth Proportional to 9,621.84, 14,432.80 and 2,696.16

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Solution

The fourth proportional to 9,621.84, 14,432.80 and 2,696.16 is: 4,044.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,621.84 : 14,432.80 = 2,696.16 : x
  2. Step 2: Convert to fraction form
    9,621.84/14,432.80 = 2,696.16/x
  3. Step 3: Cross multiply
    9,621.84x = 14,432.80 × 2,696.16
  4. Step 4: Simplify right side
    9,621.84x = 38,913,138.05
  5. Step 5: Solve for x
    x = 38,913,138.05/9,621.84
  6. Step 6: Final answer
    x = 4,044.25

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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.