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Finding the Fourth Proportional to 7,009.17, 9,673.77 and 4,176.69

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Solution

The fourth proportional to 7,009.17, 9,673.77 and 4,176.69 is: 5,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,009.17 : 9,673.77 = 4,176.69 : x
  2. Step 2: Convert to fraction form
    7,009.17/9,673.77 = 4,176.69/x
  3. Step 3: Cross multiply
    7,009.17x = 9,673.77 × 4,176.69
  4. Step 4: Simplify right side
    7,009.17x = 40,404,338.42
  5. Step 5: Solve for x
    x = 40,404,338.42/7,009.17
  6. Step 6: Final answer
    x = 5,764.50

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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.