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Finding the Fourth Proportional to 9,544.04, 14,319.12 and 6,776.18

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Solution

The fourth proportional to 9,544.04, 14,319.12 and 6,776.18 is: 10,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,544.04 : 14,319.12 = 6,776.18 : x
  2. Step 2: Convert to fraction form
    9,544.04/14,319.12 = 6,776.18/x
  3. Step 3: Cross multiply
    9,544.04x = 14,319.12 × 6,776.18
  4. Step 4: Simplify right side
    9,544.04x = 97,028,934.56
  5. Step 5: Solve for x
    x = 97,028,934.56/9,544.04
  6. Step 6: Final answer
    x = 10,166.44

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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.