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Finding the Fourth Proportional to 9,873.18, 14,821.34 and 7,794.59

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Solution

The fourth proportional to 9,873.18, 14,821.34 and 7,794.59 is: 11,701.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.18 : 14,821.34 = 7,794.59 : x
  2. Step 2: Convert to fraction form
    9,873.18/14,821.34 = 7,794.59/x
  3. Step 3: Cross multiply
    9,873.18x = 14,821.34 × 7,794.59
  4. Step 4: Simplify right side
    9,873.18x = 115,526,155.47
  5. Step 5: Solve for x
    x = 115,526,155.47/9,873.18
  6. Step 6: Final answer
    x = 11,701.01

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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.