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Finding the Fourth Proportional to 39,130.58, 58,696.43 and 9,548.97

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Solution

The fourth proportional to 39,130.58, 58,696.43 and 9,548.97 is: 14,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,130.58 : 58,696.43 = 9,548.97 : x
  2. Step 2: Convert to fraction form
    39,130.58/58,696.43 = 9,548.97/x
  3. Step 3: Cross multiply
    39,130.58x = 58,696.43 × 9,548.97
  4. Step 4: Simplify right side
    39,130.58x = 560,490,401.43
  5. Step 5: Solve for x
    x = 560,490,401.43/39,130.58
  6. Step 6: Final answer
    x = 14,323.59

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