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Finding the Fourth Proportional to 9,846, 14,769 and 9,598.14

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Solution

The fourth proportional to 9,846, 14,769 and 9,598.14 is: 14,397.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846 : 14,769 = 9,598.14 : x
  2. Step 2: Convert to fraction form
    9,846/14,769 = 9,598.14/x
  3. Step 3: Cross multiply
    9,846x = 14,769 × 9,598.14
  4. Step 4: Simplify right side
    9,846x = 141,754,929.66
  5. Step 5: Solve for x
    x = 141,754,929.66/9,846
  6. Step 6: Final answer
    x = 14,397.21

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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.