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Finding the Fourth Proportional to 9,538.51, 14,303.80 and 3,691.75

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Solution

The fourth proportional to 9,538.51, 14,303.80 and 3,691.75 is: 5,536.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.51 : 14,303.80 = 3,691.75 : x
  2. Step 2: Convert to fraction form
    9,538.51/14,303.80 = 3,691.75/x
  3. Step 3: Cross multiply
    9,538.51x = 14,303.80 × 3,691.75
  4. Step 4: Simplify right side
    9,538.51x = 52,806,053.65
  5. Step 5: Solve for x
    x = 52,806,053.65/9,538.51
  6. Step 6: Final answer
    x = 5,536.09

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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.