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Finding the Fourth Proportional to 9,538.80, 14,289.76 and 5,366.14

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Solution

The fourth proportional to 9,538.80, 14,289.76 and 5,366.14 is: 8,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.80 : 14,289.76 = 5,366.14 : x
  2. Step 2: Convert to fraction form
    9,538.80/14,289.76 = 5,366.14/x
  3. Step 3: Cross multiply
    9,538.80x = 14,289.76 × 5,366.14
  4. Step 4: Simplify right side
    9,538.80x = 76,680,852.73
  5. Step 5: Solve for x
    x = 76,680,852.73/9,538.80
  6. Step 6: Final answer
    x = 8,038.84

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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.