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Finding the Fourth Proportional to 9,813.34, 14,718.57 and 3,239.74

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Solution

The fourth proportional to 9,813.34, 14,718.57 and 3,239.74 is: 4,859.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.34 : 14,718.57 = 3,239.74 : x
  2. Step 2: Convert to fraction form
    9,813.34/14,718.57 = 3,239.74/x
  3. Step 3: Cross multiply
    9,813.34x = 14,718.57 × 3,239.74
  4. Step 4: Simplify right side
    9,813.34x = 47,684,339.97
  5. Step 5: Solve for x
    x = 47,684,339.97/9,813.34
  6. Step 6: Final answer
    x = 4,859.13

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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.