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Finding the Fourth Proportional to 9,689.00, 14,532.03 and 4,621.91

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Solution

The fourth proportional to 9,689.00, 14,532.03 and 4,621.91 is: 6,932.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.00 : 14,532.03 = 4,621.91 : x
  2. Step 2: Convert to fraction form
    9,689.00/14,532.03 = 4,621.91/x
  3. Step 3: Cross multiply
    9,689.00x = 14,532.03 × 4,621.91
  4. Step 4: Simplify right side
    9,689.00x = 67,165,662.12
  5. Step 5: Solve for x
    x = 67,165,662.12/9,689.00
  6. Step 6: Final answer
    x = 6,932.16

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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.