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Finding the Fourth Proportional to 9,739.17, 14,608.62 and 9,116.55

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Solution

The fourth proportional to 9,739.17, 14,608.62 and 9,116.55 is: 13,674.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.17 : 14,608.62 = 9,116.55 : x
  2. Step 2: Convert to fraction form
    9,739.17/14,608.62 = 9,116.55/x
  3. Step 3: Cross multiply
    9,739.17x = 14,608.62 × 9,116.55
  4. Step 4: Simplify right side
    9,739.17x = 133,180,214.66
  5. Step 5: Solve for x
    x = 133,180,214.66/9,739.17
  6. Step 6: Final answer
    x = 13,674.70

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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.