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Finding the Fourth Proportional to 9,178.45, 12,666.54 and 5,200.14

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Solution

The fourth proportional to 9,178.45, 12,666.54 and 5,200.14 is: 7,176.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.45 : 12,666.54 = 5,200.14 : x
  2. Step 2: Convert to fraction form
    9,178.45/12,666.54 = 5,200.14/x
  3. Step 3: Cross multiply
    9,178.45x = 12,666.54 × 5,200.14
  4. Step 4: Simplify right side
    9,178.45x = 65,867,781.32
  5. Step 5: Solve for x
    x = 65,867,781.32/9,178.45
  6. Step 6: Final answer
    x = 7,176.35

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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.