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Finding the Fourth Proportional to 9,983.22, 14,950.23 and 6,276.26

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Solution

The fourth proportional to 9,983.22, 14,950.23 and 6,276.26 is: 9,398.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.22 : 14,950.23 = 6,276.26 : x
  2. Step 2: Convert to fraction form
    9,983.22/14,950.23 = 6,276.26/x
  3. Step 3: Cross multiply
    9,983.22x = 14,950.23 × 6,276.26
  4. Step 4: Simplify right side
    9,983.22x = 93,831,455.79
  5. Step 5: Solve for x
    x = 93,831,455.79/9,983.22
  6. Step 6: Final answer
    x = 9,398.92

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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.