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Finding the Fourth Proportional to 7,056.14, 9,741.88 and 4,542.61

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Solution

The fourth proportional to 7,056.14, 9,741.88 and 4,542.61 is: 6,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,056.14 : 9,741.88 = 4,542.61 : x
  2. Step 2: Convert to fraction form
    7,056.14/9,741.88 = 4,542.61/x
  3. Step 3: Cross multiply
    7,056.14x = 9,741.88 × 4,542.61
  4. Step 4: Simplify right side
    7,056.14x = 44,253,525.80
  5. Step 5: Solve for x
    x = 44,253,525.80/7,056.14
  6. Step 6: Final answer
    x = 6,271.63

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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.