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Finding the Fourth Proportional to 9,962.43, 13,762.13 and 9,437.55

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Solution

The fourth proportional to 9,962.43, 13,762.13 and 9,437.55 is: 13,037.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.43 : 13,762.13 = 9,437.55 : x
  2. Step 2: Convert to fraction form
    9,962.43/13,762.13 = 9,437.55/x
  3. Step 3: Cross multiply
    9,962.43x = 13,762.13 × 9,437.55
  4. Step 4: Simplify right side
    9,962.43x = 129,880,742.79
  5. Step 5: Solve for x
    x = 129,880,742.79/9,962.43
  6. Step 6: Final answer
    x = 13,037.05

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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.