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Finding the Fourth Proportional to 9,686.67, 13,388.94 and 7,052.55

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Solution

The fourth proportional to 9,686.67, 13,388.94 and 7,052.55 is: 9,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.67 : 13,388.94 = 7,052.55 : x
  2. Step 2: Convert to fraction form
    9,686.67/13,388.94 = 7,052.55/x
  3. Step 3: Cross multiply
    9,686.67x = 13,388.94 × 7,052.55
  4. Step 4: Simplify right side
    9,686.67x = 94,426,168.80
  5. Step 5: Solve for x
    x = 94,426,168.80/9,686.67
  6. Step 6: Final answer
    x = 9,748.05

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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.