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Finding the Fourth Proportional to 7,065.14, 9,749.84 and 3,921.32

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Solution

The fourth proportional to 7,065.14, 9,749.84 and 3,921.32 is: 5,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.14 : 9,749.84 = 3,921.32 : x
  2. Step 2: Convert to fraction form
    7,065.14/9,749.84 = 3,921.32/x
  3. Step 3: Cross multiply
    7,065.14x = 9,749.84 × 3,921.32
  4. Step 4: Simplify right side
    7,065.14x = 38,232,174.23
  5. Step 5: Solve for x
    x = 38,232,174.23/7,065.14
  6. Step 6: Final answer
    x = 5,411.39

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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.