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Finding the Fourth Proportional to 9,437.82, 14,143.29 and 6,953.10

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Solution

The fourth proportional to 9,437.82, 14,143.29 and 6,953.10 is: 10,419.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.82 : 14,143.29 = 6,953.10 : x
  2. Step 2: Convert to fraction form
    9,437.82/14,143.29 = 6,953.10/x
  3. Step 3: Cross multiply
    9,437.82x = 14,143.29 × 6,953.10
  4. Step 4: Simplify right side
    9,437.82x = 98,339,709.70
  5. Step 5: Solve for x
    x = 98,339,709.70/9,437.82
  6. Step 6: Final answer
    x = 10,419.75

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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.