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Finding the Fourth Proportional to 6,561.47, 9,056.30 and 4,170.98

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Solution

The fourth proportional to 6,561.47, 9,056.30 and 4,170.98 is: 5,756.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.47 : 9,056.30 = 4,170.98 : x
  2. Step 2: Convert to fraction form
    6,561.47/9,056.30 = 4,170.98/x
  3. Step 3: Cross multiply
    6,561.47x = 9,056.30 × 4,170.98
  4. Step 4: Simplify right side
    6,561.47x = 37,773,597.02
  5. Step 5: Solve for x
    x = 37,773,597.02/6,561.47
  6. Step 6: Final answer
    x = 5,756.88

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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.