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Finding the Fourth Proportional to 9,909.68, 14,833.53 and 6,394.99

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Solution

The fourth proportional to 9,909.68, 14,833.53 and 6,394.99 is: 9,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.68 : 14,833.53 = 6,394.99 : x
  2. Step 2: Convert to fraction form
    9,909.68/14,833.53 = 6,394.99/x
  3. Step 3: Cross multiply
    9,909.68x = 14,833.53 × 6,394.99
  4. Step 4: Simplify right side
    9,909.68x = 94,860,276.01
  5. Step 5: Solve for x
    x = 94,860,276.01/9,909.68
  6. Step 6: Final answer
    x = 9,572.49

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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.