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Finding the Fourth Proportional to 9,654.46, 14,421.78 and 7,000.90

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Solution

The fourth proportional to 9,654.46, 14,421.78 and 7,000.90 is: 10,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.46 : 14,421.78 = 7,000.90 : x
  2. Step 2: Convert to fraction form
    9,654.46/14,421.78 = 7,000.90/x
  3. Step 3: Cross multiply
    9,654.46x = 14,421.78 × 7,000.90
  4. Step 4: Simplify right side
    9,654.46x = 100,965,367.49
  5. Step 5: Solve for x
    x = 100,965,367.49/9,654.46
  6. Step 6: Final answer
    x = 10,457.90

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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.