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Finding the Fourth Proportional to 9,718.72, 14,574.40 and 3,143.14

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Solution

The fourth proportional to 9,718.72, 14,574.40 and 3,143.14 is: 4,713.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.72 : 14,574.40 = 3,143.14 : x
  2. Step 2: Convert to fraction form
    9,718.72/14,574.40 = 3,143.14/x
  3. Step 3: Cross multiply
    9,718.72x = 14,574.40 × 3,143.14
  4. Step 4: Simplify right side
    9,718.72x = 45,809,335.32
  5. Step 5: Solve for x
    x = 45,809,335.32/9,718.72
  6. Step 6: Final answer
    x = 4,713.52

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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.