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Finding the Fourth Proportional to 6,385.40, 9,577.80 and 1,705.31

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Solution

The fourth proportional to 6,385.40, 9,577.80 and 1,705.31 is: 2,557.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.40 : 9,577.80 = 1,705.31 : x
  2. Step 2: Convert to fraction form
    6,385.40/9,577.80 = 1,705.31/x
  3. Step 3: Cross multiply
    6,385.40x = 9,577.80 × 1,705.31
  4. Step 4: Simplify right side
    6,385.40x = 16,333,070.23
  5. Step 5: Solve for x
    x = 16,333,070.23/6,385.40
  6. Step 6: Final answer
    x = 2,557.88

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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.