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Finding the Fourth Proportional to 35,838.96, 53,758.38 and 9,543.78

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Solution

The fourth proportional to 35,838.96, 53,758.38 and 9,543.78 is: 14,315.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,838.96 : 53,758.38 = 9,543.78 : x
  2. Step 2: Convert to fraction form
    35,838.96/53,758.38 = 9,543.78/x
  3. Step 3: Cross multiply
    35,838.96x = 53,758.38 × 9,543.78
  4. Step 4: Simplify right side
    35,838.96x = 513,058,151.88
  5. Step 5: Solve for x
    x = 513,058,151.88/35,838.96
  6. Step 6: Final answer
    x = 14,315.65

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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.