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Finding the Fourth Proportional to 9,323.71, 13,981.92 and 3,477.13

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Solution

The fourth proportional to 9,323.71, 13,981.92 and 3,477.13 is: 5,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,323.71 : 13,981.92 = 3,477.13 : x
  2. Step 2: Convert to fraction form
    9,323.71/13,981.92 = 3,477.13/x
  3. Step 3: Cross multiply
    9,323.71x = 13,981.92 × 3,477.13
  4. Step 4: Simplify right side
    9,323.71x = 48,616,953.49
  5. Step 5: Solve for x
    x = 48,616,953.49/9,323.71
  6. Step 6: Final answer
    x = 5,214.34

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1.5x scale

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.