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Finding the Fourth Proportional to 9,793.80, 14,684.28 and 5,577.16

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Solution

The fourth proportional to 9,793.80, 14,684.28 and 5,577.16 is: 8,362.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.80 : 14,684.28 = 5,577.16 : x
  2. Step 2: Convert to fraction form
    9,793.80/14,684.28 = 5,577.16/x
  3. Step 3: Cross multiply
    9,793.80x = 14,684.28 × 5,577.16
  4. Step 4: Simplify right side
    9,793.80x = 81,896,579.04
  5. Step 5: Solve for x
    x = 81,896,579.04/9,793.80
  6. Step 6: Final answer
    x = 8,362.08

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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.