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Finding the Fourth Proportional to 9,467.55, 13,077.59 and 7,681.70

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Solution

The fourth proportional to 9,467.55, 13,077.59 and 7,681.70 is: 10,610.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.55 : 13,077.59 = 7,681.70 : x
  2. Step 2: Convert to fraction form
    9,467.55/13,077.59 = 7,681.70/x
  3. Step 3: Cross multiply
    9,467.55x = 13,077.59 × 7,681.70
  4. Step 4: Simplify right side
    9,467.55x = 100,458,117.39
  5. Step 5: Solve for x
    x = 100,458,117.39/9,467.55
  6. Step 6: Final answer
    x = 10,610.78

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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.