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Finding the Fourth Proportional to 9,186.58, 12,665.40 and 6,632.18

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Solution

The fourth proportional to 9,186.58, 12,665.40 and 6,632.18 is: 9,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.58 : 12,665.40 = 6,632.18 : x
  2. Step 2: Convert to fraction form
    9,186.58/12,665.40 = 6,632.18/x
  3. Step 3: Cross multiply
    9,186.58x = 12,665.40 × 6,632.18
  4. Step 4: Simplify right side
    9,186.58x = 83,999,212.57
  5. Step 5: Solve for x
    x = 83,999,212.57/9,186.58
  6. Step 6: Final answer
    x = 9,143.69

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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.