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Finding the Fourth Proportional to 9,652.16, 14,478.40 and 3,083.88

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Solution

The fourth proportional to 9,652.16, 14,478.40 and 3,083.88 is: 4,625.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.16 : 14,478.40 = 3,083.88 : x
  2. Step 2: Convert to fraction form
    9,652.16/14,478.40 = 3,083.88/x
  3. Step 3: Cross multiply
    9,652.16x = 14,478.40 × 3,083.88
  4. Step 4: Simplify right side
    9,652.16x = 44,649,648.19
  5. Step 5: Solve for x
    x = 44,649,648.19/9,652.16
  6. Step 6: Final answer
    x = 4,625.87

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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.