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Finding the Fourth Proportional to 37,894.34, 56,841.28 and 9,814.32

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Solution

The fourth proportional to 37,894.34, 56,841.28 and 9,814.32 is: 14,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.34 : 56,841.28 = 9,814.32 : x
  2. Step 2: Convert to fraction form
    37,894.34/56,841.28 = 9,814.32/x
  3. Step 3: Cross multiply
    37,894.34x = 56,841.28 × 9,814.32
  4. Step 4: Simplify right side
    37,894.34x = 557,858,486.59
  5. Step 5: Solve for x
    x = 557,858,486.59/37,894.34
  6. Step 6: Final answer
    x = 14,721.42

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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.