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Finding the Fourth Proportional to 9,899.84, 14,848.38 and 2,503.85

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Solution

The fourth proportional to 9,899.84, 14,848.38 and 2,503.85 is: 3,755.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.84 : 14,848.38 = 2,503.85 : x
  2. Step 2: Convert to fraction form
    9,899.84/14,848.38 = 2,503.85/x
  3. Step 3: Cross multiply
    9,899.84x = 14,848.38 × 2,503.85
  4. Step 4: Simplify right side
    9,899.84x = 37,178,042.02
  5. Step 5: Solve for x
    x = 37,178,042.02/9,899.84
  6. Step 6: Final answer
    x = 3,755.42

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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.