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Finding the Fourth Proportional to 7,032.34, 9,700.38 and 4,642.31

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Solution

The fourth proportional to 7,032.34, 9,700.38 and 4,642.31 is: 6,403.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.34 : 9,700.38 = 4,642.31 : x
  2. Step 2: Convert to fraction form
    7,032.34/9,700.38 = 4,642.31/x
  3. Step 3: Cross multiply
    7,032.34x = 9,700.38 × 4,642.31
  4. Step 4: Simplify right side
    7,032.34x = 45,032,195.33
  5. Step 5: Solve for x
    x = 45,032,195.33/7,032.34
  6. Step 6: Final answer
    x = 6,403.59

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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.