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Finding the Fourth Proportional to 9,434.48, 14,143.41 and 7,343.06

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Solution

The fourth proportional to 9,434.48, 14,143.41 and 7,343.06 is: 11,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.48 : 14,143.41 = 7,343.06 : x
  2. Step 2: Convert to fraction form
    9,434.48/14,143.41 = 7,343.06/x
  3. Step 3: Cross multiply
    9,434.48x = 14,143.41 × 7,343.06
  4. Step 4: Simplify right side
    9,434.48x = 103,855,837.52
  5. Step 5: Solve for x
    x = 103,855,837.52/9,434.48
  6. Step 6: Final answer
    x = 11,008.12

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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.