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Finding the Fourth Proportional to 9,902.76, 13,657.71 and 7,065.12

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Solution

The fourth proportional to 9,902.76, 13,657.71 and 7,065.12 is: 9,744.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.76 : 13,657.71 = 7,065.12 : x
  2. Step 2: Convert to fraction form
    9,902.76/13,657.71 = 7,065.12/x
  3. Step 3: Cross multiply
    9,902.76x = 13,657.71 × 7,065.12
  4. Step 4: Simplify right side
    9,902.76x = 96,493,360.08
  5. Step 5: Solve for x
    x = 96,493,360.08/9,902.76
  6. Step 6: Final answer
    x = 9,744.09

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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.