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Finding the Fourth Proportional to 9,844.30, 14,770.14 and 5,898.32

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Solution

The fourth proportional to 9,844.30, 14,770.14 and 5,898.32 is: 8,849.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.30 : 14,770.14 = 5,898.32 : x
  2. Step 2: Convert to fraction form
    9,844.30/14,770.14 = 5,898.32/x
  3. Step 3: Cross multiply
    9,844.30x = 14,770.14 × 5,898.32
  4. Step 4: Simplify right side
    9,844.30x = 87,118,908.82
  5. Step 5: Solve for x
    x = 87,118,908.82/9,844.30
  6. Step 6: Final answer
    x = 8,849.68

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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.