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Finding the Fourth Proportional to 9,886.84, 14,802.48 and 5,428.24

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Solution

The fourth proportional to 9,886.84, 14,802.48 and 5,428.24 is: 8,127.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.84 : 14,802.48 = 5,428.24 : x
  2. Step 2: Convert to fraction form
    9,886.84/14,802.48 = 5,428.24/x
  3. Step 3: Cross multiply
    9,886.84x = 14,802.48 × 5,428.24
  4. Step 4: Simplify right side
    9,886.84x = 80,351,414.04
  5. Step 5: Solve for x
    x = 80,351,414.04/9,886.84
  6. Step 6: Final answer
    x = 8,127.11

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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.