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Finding the Fourth Proportional to 35,754.32, 53,634.04 and 9,458.76

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Solution

The fourth proportional to 35,754.32, 53,634.04 and 9,458.76 is: 14,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,754.32 : 53,634.04 = 9,458.76 : x
  2. Step 2: Convert to fraction form
    35,754.32/53,634.04 = 9,458.76/x
  3. Step 3: Cross multiply
    35,754.32x = 53,634.04 × 9,458.76
  4. Step 4: Simplify right side
    35,754.32x = 507,311,512.19
  5. Step 5: Solve for x
    x = 507,311,512.19/35,754.32
  6. Step 6: Final answer
    x = 14,188.82

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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.