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Finding the Fourth Proportional to 7,330.42, 10,094.25 and 7,166.98

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Solution

The fourth proportional to 7,330.42, 10,094.25 and 7,166.98 is: 9,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,330.42 : 10,094.25 = 7,166.98 : x
  2. Step 2: Convert to fraction form
    7,330.42/10,094.25 = 7,166.98/x
  3. Step 3: Cross multiply
    7,330.42x = 10,094.25 × 7,166.98
  4. Step 4: Simplify right side
    7,330.42x = 72,345,287.87
  5. Step 5: Solve for x
    x = 72,345,287.87/7,330.42
  6. Step 6: Final answer
    x = 9,869.19

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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.