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Finding the Fourth Proportional to 9,770.42, 14,656.31 and 3,927.05

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Solution

The fourth proportional to 9,770.42, 14,656.31 and 3,927.05 is: 5,890.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.42 : 14,656.31 = 3,927.05 : x
  2. Step 2: Convert to fraction form
    9,770.42/14,656.31 = 3,927.05/x
  3. Step 3: Cross multiply
    9,770.42x = 14,656.31 × 3,927.05
  4. Step 4: Simplify right side
    9,770.42x = 57,556,038.96
  5. Step 5: Solve for x
    x = 57,556,038.96/9,770.42
  6. Step 6: Final answer
    x = 5,890.84

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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.