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Finding the Fourth Proportional to 9,416.48, 14,134.94 and 7,083.14

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Solution

The fourth proportional to 9,416.48, 14,134.94 and 7,083.14 is: 10,632.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.48 : 14,134.94 = 7,083.14 : x
  2. Step 2: Convert to fraction form
    9,416.48/14,134.94 = 7,083.14/x
  3. Step 3: Cross multiply
    9,416.48x = 14,134.94 × 7,083.14
  4. Step 4: Simplify right side
    9,416.48x = 100,119,758.91
  5. Step 5: Solve for x
    x = 100,119,758.91/9,416.48
  6. Step 6: Final answer
    x = 10,632.40

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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.