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Finding the Fourth Proportional to 9,839.64, 14,721.18 and 9,012.23

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Solution

The fourth proportional to 9,839.64, 14,721.18 and 9,012.23 is: 13,483.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.64 : 14,721.18 = 9,012.23 : x
  2. Step 2: Convert to fraction form
    9,839.64/14,721.18 = 9,012.23/x
  3. Step 3: Cross multiply
    9,839.64x = 14,721.18 × 9,012.23
  4. Step 4: Simplify right side
    9,839.64x = 132,670,586.43
  5. Step 5: Solve for x
    x = 132,670,586.43/9,839.64
  6. Step 6: Final answer
    x = 13,483.28

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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.