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Finding the Fourth Proportional to 9,503.46, 14,250.06 and 4,306.50

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Solution

The fourth proportional to 9,503.46, 14,250.06 and 4,306.50 is: 6,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.46 : 14,250.06 = 4,306.50 : x
  2. Step 2: Convert to fraction form
    9,503.46/14,250.06 = 4,306.50/x
  3. Step 3: Cross multiply
    9,503.46x = 14,250.06 × 4,306.50
  4. Step 4: Simplify right side
    9,503.46x = 61,367,883.39
  5. Step 5: Solve for x
    x = 61,367,883.39/9,503.46
  6. Step 6: Final answer
    x = 6,457.43

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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.