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Finding the Fourth Proportional to 9,899.81, 14,848.09 and 2,972.69

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Solution

The fourth proportional to 9,899.81, 14,848.09 and 2,972.69 is: 4,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.81 : 14,848.09 = 2,972.69 : x
  2. Step 2: Convert to fraction form
    9,899.81/14,848.09 = 2,972.69/x
  3. Step 3: Cross multiply
    9,899.81x = 14,848.09 × 2,972.69
  4. Step 4: Simplify right side
    9,899.81x = 44,138,768.66
  5. Step 5: Solve for x
    x = 44,138,768.66/9,899.81
  6. Step 6: Final answer
    x = 4,458.55

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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.