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Finding the Fourth Proportional to 9,664.66, 13,237.31 and 9,097.26

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Solution

The fourth proportional to 9,664.66, 13,237.31 and 9,097.26 is: 12,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.66 : 13,237.31 = 9,097.26 : x
  2. Step 2: Convert to fraction form
    9,664.66/13,237.31 = 9,097.26/x
  3. Step 3: Cross multiply
    9,664.66x = 13,237.31 × 9,097.26
  4. Step 4: Simplify right side
    9,664.66x = 120,423,205.28
  5. Step 5: Solve for x
    x = 120,423,205.28/9,664.66
  6. Step 6: Final answer
    x = 12,460.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.