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Finding the Fourth Proportional to 9,731.66, 14,597.72 and 3,808.28

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Solution

The fourth proportional to 9,731.66, 14,597.72 and 3,808.28 is: 5,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.66 : 14,597.72 = 3,808.28 : x
  2. Step 2: Convert to fraction form
    9,731.66/14,597.72 = 3,808.28/x
  3. Step 3: Cross multiply
    9,731.66x = 14,597.72 × 3,808.28
  4. Step 4: Simplify right side
    9,731.66x = 55,592,236.86
  5. Step 5: Solve for x
    x = 55,592,236.86/9,731.66
  6. Step 6: Final answer
    x = 5,712.51

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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.