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Finding the Fourth Proportional to 9,835.67, 14,753.51 and 2,910.17

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Solution

The fourth proportional to 9,835.67, 14,753.51 and 2,910.17 is: 4,365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.67 : 14,753.51 = 2,910.17 : x
  2. Step 2: Convert to fraction form
    9,835.67/14,753.51 = 2,910.17/x
  3. Step 3: Cross multiply
    9,835.67x = 14,753.51 × 2,910.17
  4. Step 4: Simplify right side
    9,835.67x = 42,935,222.20
  5. Step 5: Solve for x
    x = 42,935,222.20/9,835.67
  6. Step 6: Final answer
    x = 4,365.26

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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.