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Finding the Fourth Proportional to 6,290.98, 9,443.76 and 3,374.98

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Solution

The fourth proportional to 6,290.98, 9,443.76 and 3,374.98 is: 5,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.98 : 9,443.76 = 3,374.98 : x
  2. Step 2: Convert to fraction form
    6,290.98/9,443.76 = 3,374.98/x
  3. Step 3: Cross multiply
    6,290.98x = 9,443.76 × 3,374.98
  4. Step 4: Simplify right side
    6,290.98x = 31,872,501.12
  5. Step 5: Solve for x
    x = 31,872,501.12/6,290.98
  6. Step 6: Final answer
    x = 5,066.38

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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.