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Finding the Fourth Proportional to 9,717.84, 14,578.65 and 3,478.32

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Solution

The fourth proportional to 9,717.84, 14,578.65 and 3,478.32 is: 5,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.84 : 14,578.65 = 3,478.32 : x
  2. Step 2: Convert to fraction form
    9,717.84/14,578.65 = 3,478.32/x
  3. Step 3: Cross multiply
    9,717.84x = 14,578.65 × 3,478.32
  4. Step 4: Simplify right side
    9,717.84x = 50,709,209.87
  5. Step 5: Solve for x
    x = 50,709,209.87/9,717.84
  6. Step 6: Final answer
    x = 5,218.16

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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.