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Finding the Fourth Proportional to 9,738.70, 14,608.05 and 9,312.10

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Solution

The fourth proportional to 9,738.70, 14,608.05 and 9,312.10 is: 13,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.70 : 14,608.05 = 9,312.10 : x
  2. Step 2: Convert to fraction form
    9,738.70/14,608.05 = 9,312.10/x
  3. Step 3: Cross multiply
    9,738.70x = 14,608.05 × 9,312.10
  4. Step 4: Simplify right side
    9,738.70x = 136,031,622.41
  5. Step 5: Solve for x
    x = 136,031,622.41/9,738.70
  6. Step 6: Final answer
    x = 13,968.15

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Similar ratio
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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.