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Finding the Fourth Proportional to 9,835.94, 14,757.56 and 4,573.78

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Solution

The fourth proportional to 9,835.94, 14,757.56 and 4,573.78 is: 6,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.94 : 14,757.56 = 4,573.78 : x
  2. Step 2: Convert to fraction form
    9,835.94/14,757.56 = 4,573.78/x
  3. Step 3: Cross multiply
    9,835.94x = 14,757.56 × 4,573.78
  4. Step 4: Simplify right side
    9,835.94x = 67,497,807.32
  5. Step 5: Solve for x
    x = 67,497,807.32/9,835.94
  6. Step 6: Final answer
    x = 6,862.36

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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.