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Finding the Fourth Proportional to 9,853.59, 14,675.85 and 9,805.89

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Solution

The fourth proportional to 9,853.59, 14,675.85 and 9,805.89 is: 14,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.59 : 14,675.85 = 9,805.89 : x
  2. Step 2: Convert to fraction form
    9,853.59/14,675.85 = 9,805.89/x
  3. Step 3: Cross multiply
    9,853.59x = 14,675.85 × 9,805.89
  4. Step 4: Simplify right side
    9,853.59x = 143,909,770.76
  5. Step 5: Solve for x
    x = 143,909,770.76/9,853.59
  6. Step 6: Final answer
    x = 14,604.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.