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Finding the Fourth Proportional to 9,909.46, 14,893.35 and 6,468.58

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Solution

The fourth proportional to 9,909.46, 14,893.35 and 6,468.58 is: 9,721.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.46 : 14,893.35 = 6,468.58 : x
  2. Step 2: Convert to fraction form
    9,909.46/14,893.35 = 6,468.58/x
  3. Step 3: Cross multiply
    9,909.46x = 14,893.35 × 6,468.58
  4. Step 4: Simplify right side
    9,909.46x = 96,338,825.94
  5. Step 5: Solve for x
    x = 96,338,825.94/9,909.46
  6. Step 6: Final answer
    x = 9,721.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.