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Finding the Fourth Proportional to 9,751.39, 14,623.00 and 3,746.52

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Solution

The fourth proportional to 9,751.39, 14,623.00 and 3,746.52 is: 5,618.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.39 : 14,623.00 = 3,746.52 : x
  2. Step 2: Convert to fraction form
    9,751.39/14,623.00 = 3,746.52/x
  3. Step 3: Cross multiply
    9,751.39x = 14,623.00 × 3,746.52
  4. Step 4: Simplify right side
    9,751.39x = 54,785,352.59
  5. Step 5: Solve for x
    x = 54,785,352.59/9,751.39
  6. Step 6: Final answer
    x = 5,618.21

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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.