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Finding the Fourth Proportional to 9,103.00, 13,641.80 and 6,880.01

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Solution

The fourth proportional to 9,103.00, 13,641.80 and 6,880.01 is: 10,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,103.00 : 13,641.80 = 6,880.01 : x
  2. Step 2: Convert to fraction form
    9,103.00/13,641.80 = 6,880.01/x
  3. Step 3: Cross multiply
    9,103.00x = 13,641.80 × 6,880.01
  4. Step 4: Simplify right side
    9,103.00x = 93,855,669.41
  5. Step 5: Solve for x
    x = 93,855,669.41/9,103.00
  6. Step 6: Final answer
    x = 10,310.41

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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.