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Finding the Fourth Proportional to 9,772.04, 13,471.23 and 6,409.02

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Solution

The fourth proportional to 9,772.04, 13,471.23 and 6,409.02 is: 8,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.04 : 13,471.23 = 6,409.02 : x
  2. Step 2: Convert to fraction form
    9,772.04/13,471.23 = 6,409.02/x
  3. Step 3: Cross multiply
    9,772.04x = 13,471.23 × 6,409.02
  4. Step 4: Simplify right side
    9,772.04x = 86,337,382.49
  5. Step 5: Solve for x
    x = 86,337,382.49/9,772.04
  6. Step 6: Final answer
    x = 8,835.15

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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.