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Finding the Fourth Proportional to 9,718.92, 14,578.56 and 3,145.32

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Solution

The fourth proportional to 9,718.92, 14,578.56 and 3,145.32 is: 4,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.92 : 14,578.56 = 3,145.32 : x
  2. Step 2: Convert to fraction form
    9,718.92/14,578.56 = 3,145.32/x
  3. Step 3: Cross multiply
    9,718.92x = 14,578.56 × 3,145.32
  4. Step 4: Simplify right side
    9,718.92x = 45,854,236.34
  5. Step 5: Solve for x
    x = 45,854,236.34/9,718.92
  6. Step 6: Final answer
    x = 4,718.04

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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.