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Finding the Fourth Proportional to 7,050.76, 9,730.01 and 3,864.05

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Solution

The fourth proportional to 7,050.76, 9,730.01 and 3,864.05 is: 5,332.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,050.76 : 9,730.01 = 3,864.05 : x
  2. Step 2: Convert to fraction form
    7,050.76/9,730.01 = 3,864.05/x
  3. Step 3: Cross multiply
    7,050.76x = 9,730.01 × 3,864.05
  4. Step 4: Simplify right side
    7,050.76x = 37,597,245.14
  5. Step 5: Solve for x
    x = 37,597,245.14/7,050.76
  6. Step 6: Final answer
    x = 5,332.37

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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.