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Finding the Fourth Proportional to 9,864.74, 13,597.53 and 6,677.03

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Solution

The fourth proportional to 9,864.74, 13,597.53 and 6,677.03 is: 9,203.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864.74 : 13,597.53 = 6,677.03 : x
  2. Step 2: Convert to fraction form
    9,864.74/13,597.53 = 6,677.03/x
  3. Step 3: Cross multiply
    9,864.74x = 13,597.53 × 6,677.03
  4. Step 4: Simplify right side
    9,864.74x = 90,791,115.74
  5. Step 5: Solve for x
    x = 90,791,115.74/9,864.74
  6. Step 6: Final answer
    x = 9,203.60

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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.