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Finding the Fourth Proportional to 9,364.95, 14,047.43 and 5,202.97

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Solution

The fourth proportional to 9,364.95, 14,047.43 and 5,202.97 is: 7,804.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.95 : 14,047.43 = 5,202.97 : x
  2. Step 2: Convert to fraction form
    9,364.95/14,047.43 = 5,202.97/x
  3. Step 3: Cross multiply
    9,364.95x = 14,047.43 × 5,202.97
  4. Step 4: Simplify right side
    9,364.95x = 73,088,295.73
  5. Step 5: Solve for x
    x = 73,088,295.73/9,364.95
  6. Step 6: Final answer
    x = 7,804.45

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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.