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Finding the Fourth Proportional to 9,763.34, 14,624.28 and 4,502.66

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Solution

The fourth proportional to 9,763.34, 14,624.28 and 4,502.66 is: 6,744.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.34 : 14,624.28 = 4,502.66 : x
  2. Step 2: Convert to fraction form
    9,763.34/14,624.28 = 4,502.66/x
  3. Step 3: Cross multiply
    9,763.34x = 14,624.28 × 4,502.66
  4. Step 4: Simplify right side
    9,763.34x = 65,848,087.46
  5. Step 5: Solve for x
    x = 65,848,087.46/9,763.34
  6. Step 6: Final answer
    x = 6,744.43

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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.