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Finding the Fourth Proportional to 6,166.16, 9,269.29 and 4,946.91

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Solution

The fourth proportional to 6,166.16, 9,269.29 and 4,946.91 is: 7,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.16 : 9,269.29 = 4,946.91 : x
  2. Step 2: Convert to fraction form
    6,166.16/9,269.29 = 4,946.91/x
  3. Step 3: Cross multiply
    6,166.16x = 9,269.29 × 4,946.91
  4. Step 4: Simplify right side
    6,166.16x = 45,854,343.39
  5. Step 5: Solve for x
    x = 45,854,343.39/6,166.16
  6. Step 6: Final answer
    x = 7,436.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.