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Finding the Fourth Proportional to 9,404.88, 14,116.50 and 4,477.92

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Solution

The fourth proportional to 9,404.88, 14,116.50 and 4,477.92 is: 6,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.88 : 14,116.50 = 4,477.92 : x
  2. Step 2: Convert to fraction form
    9,404.88/14,116.50 = 4,477.92/x
  3. Step 3: Cross multiply
    9,404.88x = 14,116.50 × 4,477.92
  4. Step 4: Simplify right side
    9,404.88x = 63,212,557.68
  5. Step 5: Solve for x
    x = 63,212,557.68/9,404.88
  6. Step 6: Final answer
    x = 6,721.25

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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.