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Finding the Fourth Proportional to 9,506.16, 14,163.66 and 8,910

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Solution

The fourth proportional to 9,506.16, 14,163.66 and 8,910 is: 13,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.16 : 14,163.66 = 8,910 : x
  2. Step 2: Convert to fraction form
    9,506.16/14,163.66 = 8,910/x
  3. Step 3: Cross multiply
    9,506.16x = 14,163.66 × 8,910
  4. Step 4: Simplify right side
    9,506.16x = 126,198,210.60
  5. Step 5: Solve for x
    x = 126,198,210.60/9,506.16
  6. Step 6: Final answer
    x = 13,275.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.