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Finding the Fourth Proportional to 9,598.10, 14,372.54 and 8,121.88

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Solution

The fourth proportional to 9,598.10, 14,372.54 and 8,121.88 is: 12,162.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.10 : 14,372.54 = 8,121.88 : x
  2. Step 2: Convert to fraction form
    9,598.10/14,372.54 = 8,121.88/x
  3. Step 3: Cross multiply
    9,598.10x = 14,372.54 × 8,121.88
  4. Step 4: Simplify right side
    9,598.10x = 116,732,045.18
  5. Step 5: Solve for x
    x = 116,732,045.18/9,598.10
  6. Step 6: Final answer
    x = 12,162.00

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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.