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Finding the Fourth Proportional to 9,347.44, 12,895.16 and 5,988.64

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Solution

The fourth proportional to 9,347.44, 12,895.16 and 5,988.64 is: 8,261.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.44 : 12,895.16 = 5,988.64 : x
  2. Step 2: Convert to fraction form
    9,347.44/12,895.16 = 5,988.64/x
  3. Step 3: Cross multiply
    9,347.44x = 12,895.16 × 5,988.64
  4. Step 4: Simplify right side
    9,347.44x = 77,224,470.98
  5. Step 5: Solve for x
    x = 77,224,470.98/9,347.44
  6. Step 6: Final answer
    x = 8,261.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.