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Finding the Fourth Proportional to 9,894.58, 14,837.52 and 2,967.46

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Solution

The fourth proportional to 9,894.58, 14,837.52 and 2,967.46 is: 4,449.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.58 : 14,837.52 = 2,967.46 : x
  2. Step 2: Convert to fraction form
    9,894.58/14,837.52 = 2,967.46/x
  3. Step 3: Cross multiply
    9,894.58x = 14,837.52 × 2,967.46
  4. Step 4: Simplify right side
    9,894.58x = 44,029,747.10
  5. Step 5: Solve for x
    x = 44,029,747.10/9,894.58
  6. Step 6: Final answer
    x = 4,449.89

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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.