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Finding the Fourth Proportional to 9,892.98, 14,841.28 and 4,966.02

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Solution

The fourth proportional to 9,892.98, 14,841.28 and 4,966.02 is: 7,449.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.98 : 14,841.28 = 4,966.02 : x
  2. Step 2: Convert to fraction form
    9,892.98/14,841.28 = 4,966.02/x
  3. Step 3: Cross multiply
    9,892.98x = 14,841.28 × 4,966.02
  4. Step 4: Simplify right side
    9,892.98x = 73,702,093.31
  5. Step 5: Solve for x
    x = 73,702,093.31/9,892.98
  6. Step 6: Final answer
    x = 7,449.94

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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.