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Finding the Fourth Proportional to 9,186.90, 12,666.78 and 7,768.02

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Solution

The fourth proportional to 9,186.90, 12,666.78 and 7,768.02 is: 10,710.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.90 : 12,666.78 = 7,768.02 : x
  2. Step 2: Convert to fraction form
    9,186.90/12,666.78 = 7,768.02/x
  3. Step 3: Cross multiply
    9,186.90x = 12,666.78 × 7,768.02
  4. Step 4: Simplify right side
    9,186.90x = 98,395,800.38
  5. Step 5: Solve for x
    x = 98,395,800.38/9,186.90
  6. Step 6: Final answer
    x = 10,710.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.