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Finding the Fourth Proportional to 9,404, 14,106.80 and 2,478.52

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Solution

The fourth proportional to 9,404, 14,106.80 and 2,478.52 is: 3,717.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404 : 14,106.80 = 2,478.52 : x
  2. Step 2: Convert to fraction form
    9,404/14,106.80 = 2,478.52/x
  3. Step 3: Cross multiply
    9,404x = 14,106.80 × 2,478.52
  4. Step 4: Simplify right side
    9,404x = 34,963,985.94
  5. Step 5: Solve for x
    x = 34,963,985.94/9,404
  6. Step 6: Final answer
    x = 3,717.99

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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.