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Finding the Fourth Proportional to 9,534.74, 14,304.01 and 3,294.98

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Solution

The fourth proportional to 9,534.74, 14,304.01 and 3,294.98 is: 4,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,534.74 : 14,304.01 = 3,294.98 : x
  2. Step 2: Convert to fraction form
    9,534.74/14,304.01 = 3,294.98/x
  3. Step 3: Cross multiply
    9,534.74x = 14,304.01 × 3,294.98
  4. Step 4: Simplify right side
    9,534.74x = 47,131,426.87
  5. Step 5: Solve for x
    x = 47,131,426.87/9,534.74
  6. Step 6: Final answer
    x = 4,943.13

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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.