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Finding the Fourth Proportional to 9,200.76, 12,696.80 and 5,009.01

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Solution

The fourth proportional to 9,200.76, 12,696.80 and 5,009.01 is: 6,912.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.76 : 12,696.80 = 5,009.01 : x
  2. Step 2: Convert to fraction form
    9,200.76/12,696.80 = 5,009.01/x
  3. Step 3: Cross multiply
    9,200.76x = 12,696.80 × 5,009.01
  4. Step 4: Simplify right side
    9,200.76x = 63,598,373.12
  5. Step 5: Solve for x
    x = 63,598,373.12/9,200.76
  6. Step 6: Final answer
    x = 6,912.30

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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.