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Finding the Fourth Proportional to 6,762.96, 9,327.15 and 5,705.91

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Solution

The fourth proportional to 6,762.96, 9,327.15 and 5,705.91 is: 7,869.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.96 : 9,327.15 = 5,705.91 : x
  2. Step 2: Convert to fraction form
    6,762.96/9,327.15 = 5,705.91/x
  3. Step 3: Cross multiply
    6,762.96x = 9,327.15 × 5,705.91
  4. Step 4: Simplify right side
    6,762.96x = 53,219,878.46
  5. Step 5: Solve for x
    x = 53,219,878.46/6,762.96
  6. Step 6: Final answer
    x = 7,869.32

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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.