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Finding the Fourth Proportional to 9,380.16, 14,089.68 and 6,814.08

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Solution

The fourth proportional to 9,380.16, 14,089.68 and 6,814.08 is: 10,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.16 : 14,089.68 = 6,814.08 : x
  2. Step 2: Convert to fraction form
    9,380.16/14,089.68 = 6,814.08/x
  3. Step 3: Cross multiply
    9,380.16x = 14,089.68 × 6,814.08
  4. Step 4: Simplify right side
    9,380.16x = 96,008,206.69
  5. Step 5: Solve for x
    x = 96,008,206.69/9,380.16
  6. Step 6: Final answer
    x = 10,235.24

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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.