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Finding the Fourth Proportional to 9,866.68, 14,804.34 and 4,321.42

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Solution

The fourth proportional to 9,866.68, 14,804.34 and 4,321.42 is: 6,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.68 : 14,804.34 = 4,321.42 : x
  2. Step 2: Convert to fraction form
    9,866.68/14,804.34 = 4,321.42/x
  3. Step 3: Cross multiply
    9,866.68x = 14,804.34 × 4,321.42
  4. Step 4: Simplify right side
    9,866.68x = 63,975,770.96
  5. Step 5: Solve for x
    x = 63,975,770.96/9,866.68
  6. Step 6: Final answer
    x = 6,484.02

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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.