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Finding the Fourth Proportional to 35,934, 53,897.20 and 9,641.40

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Solution

The fourth proportional to 35,934, 53,897.20 and 9,641.40 is: 14,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,934 : 53,897.20 = 9,641.40 : x
  2. Step 2: Convert to fraction form
    35,934/53,897.20 = 9,641.40/x
  3. Step 3: Cross multiply
    35,934x = 53,897.20 × 9,641.40
  4. Step 4: Simplify right side
    35,934x = 519,644,464.08
  5. Step 5: Solve for x
    x = 519,644,464.08/35,934
  6. Step 6: Final answer
    x = 14,461.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.