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Finding the Fourth Proportional to 9,946.40, 14,929.20 and 8,487.20

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Solution

The fourth proportional to 9,946.40, 14,929.20 and 8,487.20 is: 12,738.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.40 : 14,929.20 = 8,487.20 : x
  2. Step 2: Convert to fraction form
    9,946.40/14,929.20 = 8,487.20/x
  3. Step 3: Cross multiply
    9,946.40x = 14,929.20 × 8,487.20
  4. Step 4: Simplify right side
    9,946.40x = 126,707,106.24
  5. Step 5: Solve for x
    x = 126,707,106.24/9,946.40
  6. Step 6: Final answer
    x = 12,738.99

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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.