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Finding the Fourth Proportional to 9,983.42, 14,943.98 and 7,353.89

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Solution

The fourth proportional to 9,983.42, 14,943.98 and 7,353.89 is: 11,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.42 : 14,943.98 = 7,353.89 : x
  2. Step 2: Convert to fraction form
    9,983.42/14,943.98 = 7,353.89/x
  3. Step 3: Cross multiply
    9,983.42x = 14,943.98 × 7,353.89
  4. Step 4: Simplify right side
    9,983.42x = 109,896,385.08
  5. Step 5: Solve for x
    x = 109,896,385.08/9,983.42
  6. Step 6: Final answer
    x = 11,007.89

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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.