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Finding the Fourth Proportional to 9,460.80, 14,158.80 and 6,544.80

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Solution

The fourth proportional to 9,460.80, 14,158.80 and 6,544.80 is: 9,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,460.80 : 14,158.80 = 6,544.80 : x
  2. Step 2: Convert to fraction form
    9,460.80/14,158.80 = 6,544.80/x
  3. Step 3: Cross multiply
    9,460.80x = 14,158.80 × 6,544.80
  4. Step 4: Simplify right side
    9,460.80x = 92,666,514.24
  5. Step 5: Solve for x
    x = 92,666,514.24/9,460.80
  6. Step 6: Final answer
    x = 9,794.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.