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Finding the Fourth Proportional to 28,562.88, 42,848.42 and 9,837.91

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Solution

The fourth proportional to 28,562.88, 42,848.42 and 9,837.91 is: 14,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,562.88 : 42,848.42 = 9,837.91 : x
  2. Step 2: Convert to fraction form
    28,562.88/42,848.42 = 9,837.91/x
  3. Step 3: Cross multiply
    28,562.88x = 42,848.42 × 9,837.91
  4. Step 4: Simplify right side
    28,562.88x = 421,538,690.62
  5. Step 5: Solve for x
    x = 421,538,690.62/28,562.88
  6. Step 6: Final answer
    x = 14,758.27

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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.