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Finding the Fourth Proportional to 9,873.99, 14,811.29 and 4,324.47

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Solution

The fourth proportional to 9,873.99, 14,811.29 and 4,324.47 is: 6,486.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.99 : 14,811.29 = 4,324.47 : x
  2. Step 2: Convert to fraction form
    9,873.99/14,811.29 = 4,324.47/x
  3. Step 3: Cross multiply
    9,873.99x = 14,811.29 × 4,324.47
  4. Step 4: Simplify right side
    9,873.99x = 64,050,957.64
  5. Step 5: Solve for x
    x = 64,050,957.64/9,873.99
  6. Step 6: Final answer
    x = 6,486.84

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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.