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Finding the Fourth Proportional to 6,885.16, 9,501.56 and 3,741.40

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Solution

The fourth proportional to 6,885.16, 9,501.56 and 3,741.40 is: 5,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.16 : 9,501.56 = 3,741.40 : x
  2. Step 2: Convert to fraction form
    6,885.16/9,501.56 = 3,741.40/x
  3. Step 3: Cross multiply
    6,885.16x = 9,501.56 × 3,741.40
  4. Step 4: Simplify right side
    6,885.16x = 35,549,136.58
  5. Step 5: Solve for x
    x = 35,549,136.58/6,885.16
  6. Step 6: Final answer
    x = 5,163.15

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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.