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Finding the Fourth Proportional to 9,297.34, 12,811.25 and 8,641.06

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Solution

The fourth proportional to 9,297.34, 12,811.25 and 8,641.06 is: 11,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,297.34 : 12,811.25 = 8,641.06 : x
  2. Step 2: Convert to fraction form
    9,297.34/12,811.25 = 8,641.06/x
  3. Step 3: Cross multiply
    9,297.34x = 12,811.25 × 8,641.06
  4. Step 4: Simplify right side
    9,297.34x = 110,702,779.93
  5. Step 5: Solve for x
    x = 110,702,779.93/9,297.34
  6. Step 6: Final answer
    x = 11,906.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.