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Finding the Fourth Proportional to 39,296.24, 58,943.78 and 9,714.08

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Solution

The fourth proportional to 39,296.24, 58,943.78 and 9,714.08 is: 14,570.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296.24 : 58,943.78 = 9,714.08 : x
  2. Step 2: Convert to fraction form
    39,296.24/58,943.78 = 9,714.08/x
  3. Step 3: Cross multiply
    39,296.24x = 58,943.78 × 9,714.08
  4. Step 4: Simplify right side
    39,296.24x = 572,584,594.42
  5. Step 5: Solve for x
    x = 572,584,594.42/39,296.24
  6. Step 6: Final answer
    x = 14,570.98

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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.