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Finding the Fourth Proportional to 9,726.81, 14,568.33 and 6,818.10

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Solution

The fourth proportional to 9,726.81, 14,568.33 and 6,818.10 is: 10,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.81 : 14,568.33 = 6,818.10 : x
  2. Step 2: Convert to fraction form
    9,726.81/14,568.33 = 6,818.10/x
  3. Step 3: Cross multiply
    9,726.81x = 14,568.33 × 6,818.10
  4. Step 4: Simplify right side
    9,726.81x = 99,328,330.77
  5. Step 5: Solve for x
    x = 99,328,330.77/9,726.81
  6. Step 6: Final answer
    x = 10,211.81

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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.