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Finding the Fourth Proportional to 9,510.40, 14,261.76 and 3,354.88

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Solution

The fourth proportional to 9,510.40, 14,261.76 and 3,354.88 is: 5,030.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.40 : 14,261.76 = 3,354.88 : x
  2. Step 2: Convert to fraction form
    9,510.40/14,261.76 = 3,354.88/x
  3. Step 3: Cross multiply
    9,510.40x = 14,261.76 × 3,354.88
  4. Step 4: Simplify right side
    9,510.40x = 47,846,493.39
  5. Step 5: Solve for x
    x = 47,846,493.39/9,510.40
  6. Step 6: Final answer
    x = 5,030.97

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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.