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Finding the Fourth Proportional to 7,046.87, 9,724.65 and 3,903.05

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Solution

The fourth proportional to 7,046.87, 9,724.65 and 3,903.05 is: 5,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.87 : 9,724.65 = 3,903.05 : x
  2. Step 2: Convert to fraction form
    7,046.87/9,724.65 = 3,903.05/x
  3. Step 3: Cross multiply
    7,046.87x = 9,724.65 × 3,903.05
  4. Step 4: Simplify right side
    7,046.87x = 37,955,746.56
  5. Step 5: Solve for x
    x = 37,955,746.56/7,046.87
  6. Step 6: Final answer
    x = 5,386.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.