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Finding the Fourth Proportional to 9,543.32, 14,208.08 and 9,497.15

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Solution

The fourth proportional to 9,543.32, 14,208.08 and 9,497.15 is: 14,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.32 : 14,208.08 = 9,497.15 : x
  2. Step 2: Convert to fraction form
    9,543.32/14,208.08 = 9,497.15/x
  3. Step 3: Cross multiply
    9,543.32x = 14,208.08 × 9,497.15
  4. Step 4: Simplify right side
    9,543.32x = 134,936,201.73
  5. Step 5: Solve for x
    x = 134,936,201.73/9,543.32
  6. Step 6: Final answer
    x = 14,139.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.