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Finding the Fourth Proportional to 9,689.45, 14,594.02 and 9,222.89

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Solution

The fourth proportional to 9,689.45, 14,594.02 and 9,222.89 is: 13,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,689.45 : 14,594.02 = 9,222.89 : x
  2. Step 2: Convert to fraction form
    9,689.45/14,594.02 = 9,222.89/x
  3. Step 3: Cross multiply
    9,689.45x = 14,594.02 × 9,222.89
  4. Step 4: Simplify right side
    9,689.45x = 134,598,945.09
  5. Step 5: Solve for x
    x = 134,598,945.09/9,689.45
  6. Step 6: Final answer
    x = 13,891.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.