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Finding the Fourth Proportional to 9,321.42, 13,986.81 and 4,390.50

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Solution

The fourth proportional to 9,321.42, 13,986.81 and 4,390.50 is: 6,587.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.42 : 13,986.81 = 4,390.50 : x
  2. Step 2: Convert to fraction form
    9,321.42/13,986.81 = 4,390.50/x
  3. Step 3: Cross multiply
    9,321.42x = 13,986.81 × 4,390.50
  4. Step 4: Simplify right side
    9,321.42x = 61,409,089.31
  5. Step 5: Solve for x
    x = 61,409,089.31/9,321.42
  6. Step 6: Final answer
    x = 6,587.95

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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.