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Finding the Fourth Proportional to 9,531.08, 14,293.58 and 8,909.16

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Solution

The fourth proportional to 9,531.08, 14,293.58 and 8,909.16 is: 13,360.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.08 : 14,293.58 = 8,909.16 : x
  2. Step 2: Convert to fraction form
    9,531.08/14,293.58 = 8,909.16/x
  3. Step 3: Cross multiply
    9,531.08x = 14,293.58 × 8,909.16
  4. Step 4: Simplify right side
    9,531.08x = 127,343,791.19
  5. Step 5: Solve for x
    x = 127,343,791.19/9,531.08
  6. Step 6: Final answer
    x = 13,360.90

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1.5x scale

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.