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Finding the Fourth Proportional to 9,589.17, 14,316.49 and 8,113.35

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Solution

The fourth proportional to 9,589.17, 14,316.49 and 8,113.35 is: 12,113.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.17 : 14,316.49 = 8,113.35 : x
  2. Step 2: Convert to fraction form
    9,589.17/14,316.49 = 8,113.35/x
  3. Step 3: Cross multiply
    9,589.17x = 14,316.49 × 8,113.35
  4. Step 4: Simplify right side
    9,589.17x = 116,154,694.14
  5. Step 5: Solve for x
    x = 116,154,694.14/9,589.17
  6. Step 6: Final answer
    x = 12,113.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.