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Finding the Fourth Proportional to 9,834.03, 14,750.63 and 4,287.39

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Solution

The fourth proportional to 9,834.03, 14,750.63 and 4,287.39 is: 6,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.03 : 14,750.63 = 4,287.39 : x
  2. Step 2: Convert to fraction form
    9,834.03/14,750.63 = 4,287.39/x
  3. Step 3: Cross multiply
    9,834.03x = 14,750.63 × 4,287.39
  4. Step 4: Simplify right side
    9,834.03x = 63,241,682.12
  5. Step 5: Solve for x
    x = 63,241,682.12/9,834.03
  6. Step 6: Final answer
    x = 6,430.90

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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.