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Finding the Fourth Proportional to 6,784.32, 10,109.85 and 6,561.34

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Solution

The fourth proportional to 6,784.32, 10,109.85 and 6,561.34 is: 9,777.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,784.32 : 10,109.85 = 6,561.34 : x
  2. Step 2: Convert to fraction form
    6,784.32/10,109.85 = 6,561.34/x
  3. Step 3: Cross multiply
    6,784.32x = 10,109.85 × 6,561.34
  4. Step 4: Simplify right side
    6,784.32x = 66,334,146.80
  5. Step 5: Solve for x
    x = 66,334,146.80/6,784.32
  6. Step 6: Final answer
    x = 9,777.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.