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Finding the Fourth Proportional to 9,324.12, 13,976.04 and 4,647.60

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Solution

The fourth proportional to 9,324.12, 13,976.04 and 4,647.60 is: 6,966.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.12 : 13,976.04 = 4,647.60 : x
  2. Step 2: Convert to fraction form
    9,324.12/13,976.04 = 4,647.60/x
  3. Step 3: Cross multiply
    9,324.12x = 13,976.04 × 4,647.60
  4. Step 4: Simplify right side
    9,324.12x = 64,955,043.50
  5. Step 5: Solve for x
    x = 64,955,043.50/9,324.12
  6. Step 6: Final answer
    x = 6,966.35

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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.