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Finding the Fourth Proportional to 35,933.94, 53,895.96 and 9,639

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Solution

The fourth proportional to 35,933.94, 53,895.96 and 9,639 is: 14,457.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933.94 : 53,895.96 = 9,639 : x
  2. Step 2: Convert to fraction form
    35,933.94/53,895.96 = 9,639/x
  3. Step 3: Cross multiply
    35,933.94x = 53,895.96 × 9,639
  4. Step 4: Simplify right side
    35,933.94x = 519,503,158.44
  5. Step 5: Solve for x
    x = 519,503,158.44/35,933.94
  6. Step 6: Final answer
    x = 14,457.17

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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.