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Finding the Fourth Proportional to 9,914.65, 13,682.40 and 5,438.13

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Solution

The fourth proportional to 9,914.65, 13,682.40 and 5,438.13 is: 7,504.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.65 : 13,682.40 = 5,438.13 : x
  2. Step 2: Convert to fraction form
    9,914.65/13,682.40 = 5,438.13/x
  3. Step 3: Cross multiply
    9,914.65x = 13,682.40 × 5,438.13
  4. Step 4: Simplify right side
    9,914.65x = 74,406,598.21
  5. Step 5: Solve for x
    x = 74,406,598.21/9,914.65
  6. Step 6: Final answer
    x = 7,504.71

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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.