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Finding the Fourth Proportional to 9,399.14, 12,970.02 and 5,365.95

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Solution

The fourth proportional to 9,399.14, 12,970.02 and 5,365.95 is: 7,404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.14 : 12,970.02 = 5,365.95 : x
  2. Step 2: Convert to fraction form
    9,399.14/12,970.02 = 5,365.95/x
  3. Step 3: Cross multiply
    9,399.14x = 12,970.02 × 5,365.95
  4. Step 4: Simplify right side
    9,399.14x = 69,596,450.30
  5. Step 5: Solve for x
    x = 69,596,450.30/9,399.14
  6. Step 6: Final answer
    x = 7,404.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.