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Finding the Fourth Proportional to 9,740.88, 13,446.68 and 6,208.74

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Solution

The fourth proportional to 9,740.88, 13,446.68 and 6,208.74 is: 8,570.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.88 : 13,446.68 = 6,208.74 : x
  2. Step 2: Convert to fraction form
    9,740.88/13,446.68 = 6,208.74/x
  3. Step 3: Cross multiply
    9,740.88x = 13,446.68 × 6,208.74
  4. Step 4: Simplify right side
    9,740.88x = 83,486,908.94
  5. Step 5: Solve for x
    x = 83,486,908.94/9,740.88
  6. Step 6: Final answer
    x = 8,570.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.