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Finding the Fourth Proportional to 9,343.53, 14,018.67 and 4,663.17

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Solution

The fourth proportional to 9,343.53, 14,018.67 and 4,663.17 is: 6,996.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,343.53 : 14,018.67 = 4,663.17 : x
  2. Step 2: Convert to fraction form
    9,343.53/14,018.67 = 4,663.17/x
  3. Step 3: Cross multiply
    9,343.53x = 14,018.67 × 4,663.17
  4. Step 4: Simplify right side
    9,343.53x = 65,371,441.38
  5. Step 5: Solve for x
    x = 65,371,441.38/9,343.53
  6. Step 6: Final answer
    x = 6,996.44

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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.