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Finding the Fourth Proportional to 9,376.32, 14,064.16 and 3,220.16

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Solution

The fourth proportional to 9,376.32, 14,064.16 and 3,220.16 is: 4,830.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.32 : 14,064.16 = 3,220.16 : x
  2. Step 2: Convert to fraction form
    9,376.32/14,064.16 = 3,220.16/x
  3. Step 3: Cross multiply
    9,376.32x = 14,064.16 × 3,220.16
  4. Step 4: Simplify right side
    9,376.32x = 45,288,845.47
  5. Step 5: Solve for x
    x = 45,288,845.47/9,376.32
  6. Step 6: Final answer
    x = 4,830.13

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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.