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Finding the Fourth Proportional to 6,385.30, 9,577.18 and 1,705.66

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Solution

The fourth proportional to 6,385.30, 9,577.18 and 1,705.66 is: 2,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.30 : 9,577.18 = 1,705.66 : x
  2. Step 2: Convert to fraction form
    6,385.30/9,577.18 = 1,705.66/x
  3. Step 3: Cross multiply
    6,385.30x = 9,577.18 × 1,705.66
  4. Step 4: Simplify right side
    6,385.30x = 16,335,412.84
  5. Step 5: Solve for x
    x = 16,335,412.84/6,385.30
  6. Step 6: Final answer
    x = 2,558.28

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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.