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Finding the Fourth Proportional to 35,877.36, 53,819.04 and 9,582

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Solution

The fourth proportional to 35,877.36, 53,819.04 and 9,582 is: 14,373.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,877.36 : 53,819.04 = 9,582 : x
  2. Step 2: Convert to fraction form
    35,877.36/53,819.04 = 9,582/x
  3. Step 3: Cross multiply
    35,877.36x = 53,819.04 × 9,582
  4. Step 4: Simplify right side
    35,877.36x = 515,694,041.28
  5. Step 5: Solve for x
    x = 515,694,041.28/35,877.36
  6. Step 6: Final answer
    x = 14,373.80

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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.