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Finding the Fourth Proportional to 9,847.67, 14,713.83 and 9,503.15

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Solution

The fourth proportional to 9,847.67, 14,713.83 and 9,503.15 is: 14,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.67 : 14,713.83 = 9,503.15 : x
  2. Step 2: Convert to fraction form
    9,847.67/14,713.83 = 9,503.15/x
  3. Step 3: Cross multiply
    9,847.67x = 14,713.83 × 9,503.15
  4. Step 4: Simplify right side
    9,847.67x = 139,827,660.00
  5. Step 5: Solve for x
    x = 139,827,660.00/9,847.67
  6. Step 6: Final answer
    x = 14,199.07

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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.