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Finding the Fourth Proportional to 9,873.86, 14,797.65 and 4,868.59

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Solution

The fourth proportional to 9,873.86, 14,797.65 and 4,868.59 is: 7,296.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.86 : 14,797.65 = 4,868.59 : x
  2. Step 2: Convert to fraction form
    9,873.86/14,797.65 = 4,868.59/x
  3. Step 3: Cross multiply
    9,873.86x = 14,797.65 × 4,868.59
  4. Step 4: Simplify right side
    9,873.86x = 72,043,690.81
  5. Step 5: Solve for x
    x = 72,043,690.81/9,873.86
  6. Step 6: Final answer
    x = 7,296.41

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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.