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Finding the Fourth Proportional to 9,432.54, 14,146.99 and 8,964.23

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Solution

The fourth proportional to 9,432.54, 14,146.99 and 8,964.23 is: 13,444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.54 : 14,146.99 = 8,964.23 : x
  2. Step 2: Convert to fraction form
    9,432.54/14,146.99 = 8,964.23/x
  3. Step 3: Cross multiply
    9,432.54x = 14,146.99 × 8,964.23
  4. Step 4: Simplify right side
    9,432.54x = 126,816,779.02
  5. Step 5: Solve for x
    x = 126,816,779.02/9,432.54
  6. Step 6: Final answer
    x = 13,444.61

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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.