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Finding the Fourth Proportional to 9,555, 14,336.15 and 3,712.07

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Solution

The fourth proportional to 9,555, 14,336.15 and 3,712.07 is: 5,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555 : 14,336.15 = 3,712.07 : x
  2. Step 2: Convert to fraction form
    9,555/14,336.15 = 3,712.07/x
  3. Step 3: Cross multiply
    9,555x = 14,336.15 × 3,712.07
  4. Step 4: Simplify right side
    9,555x = 53,216,702.09
  5. Step 5: Solve for x
    x = 53,216,702.09/9,555
  6. Step 6: Final answer
    x = 5,569.51

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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.