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Finding the Fourth Proportional to 39,290.94, 58,934.82 and 9,708.02

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Solution

The fourth proportional to 39,290.94, 58,934.82 and 9,708.02 is: 14,561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,290.94 : 58,934.82 = 9,708.02 : x
  2. Step 2: Convert to fraction form
    39,290.94/58,934.82 = 9,708.02/x
  3. Step 3: Cross multiply
    39,290.94x = 58,934.82 × 9,708.02
  4. Step 4: Simplify right side
    39,290.94x = 572,140,373.99
  5. Step 5: Solve for x
    x = 572,140,373.99/39,290.94
  6. Step 6: Final answer
    x = 14,561.64

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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.