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Finding the Fourth Proportional to 9,824.62, 14,731.54 and 3,895.50

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Solution

The fourth proportional to 9,824.62, 14,731.54 and 3,895.50 is: 5,841.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.62 : 14,731.54 = 3,895.50 : x
  2. Step 2: Convert to fraction form
    9,824.62/14,731.54 = 3,895.50/x
  3. Step 3: Cross multiply
    9,824.62x = 14,731.54 × 3,895.50
  4. Step 4: Simplify right side
    9,824.62x = 57,386,714.07
  5. Step 5: Solve for x
    x = 57,386,714.07/9,824.62
  6. Step 6: Final answer
    x = 5,841.11

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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.