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Finding the Fourth Proportional to 9,770.15, 14,655.89 and 3,926.75

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Solution

The fourth proportional to 9,770.15, 14,655.89 and 3,926.75 is: 5,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.15 : 14,655.89 = 3,926.75 : x
  2. Step 2: Convert to fraction form
    9,770.15/14,655.89 = 3,926.75/x
  3. Step 3: Cross multiply
    9,770.15x = 14,655.89 × 3,926.75
  4. Step 4: Simplify right side
    9,770.15x = 57,550,062.51
  5. Step 5: Solve for x
    x = 57,550,062.51/9,770.15
  6. Step 6: Final answer
    x = 5,890.40

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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.