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Finding the Fourth Proportional to 6,854.01, 9,477.18 and 6,742.86

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Solution

The fourth proportional to 6,854.01, 9,477.18 and 6,742.86 is: 9,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.01 : 9,477.18 = 6,742.86 : x
  2. Step 2: Convert to fraction form
    6,854.01/9,477.18 = 6,742.86/x
  3. Step 3: Cross multiply
    6,854.01x = 9,477.18 × 6,742.86
  4. Step 4: Simplify right side
    6,854.01x = 63,903,297.93
  5. Step 5: Solve for x
    x = 63,903,297.93/6,854.01
  6. Step 6: Final answer
    x = 9,323.49

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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.