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Finding the Fourth Proportional to 9,740.77, 14,606.14 and 4,471.24

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Solution

The fourth proportional to 9,740.77, 14,606.14 and 4,471.24 is: 6,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.77 : 14,606.14 = 4,471.24 : x
  2. Step 2: Convert to fraction form
    9,740.77/14,606.14 = 4,471.24/x
  3. Step 3: Cross multiply
    9,740.77x = 14,606.14 × 4,471.24
  4. Step 4: Simplify right side
    9,740.77x = 65,307,557.41
  5. Step 5: Solve for x
    x = 65,307,557.41/9,740.77
  6. Step 6: Final answer
    x = 6,704.56

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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.