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Finding the Fourth Proportional to 9,710.84, 14,578.56 and 8,087.24

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Solution

The fourth proportional to 9,710.84, 14,578.56 and 8,087.24 is: 12,141.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.84 : 14,578.56 = 8,087.24 : x
  2. Step 2: Convert to fraction form
    9,710.84/14,578.56 = 8,087.24/x
  3. Step 3: Cross multiply
    9,710.84x = 14,578.56 × 8,087.24
  4. Step 4: Simplify right side
    9,710.84x = 117,900,313.57
  5. Step 5: Solve for x
    x = 117,900,313.57/9,710.84
  6. Step 6: Final answer
    x = 12,141.10

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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.