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Finding the Fourth Proportional to 9,794.79, 13,487.31 and 8,857.01

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Solution

The fourth proportional to 9,794.79, 13,487.31 and 8,857.01 is: 12,196.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.79 : 13,487.31 = 8,857.01 : x
  2. Step 2: Convert to fraction form
    9,794.79/13,487.31 = 8,857.01/x
  3. Step 3: Cross multiply
    9,794.79x = 13,487.31 × 8,857.01
  4. Step 4: Simplify right side
    9,794.79x = 119,457,273.26
  5. Step 5: Solve for x
    x = 119,457,273.26/9,794.79
  6. Step 6: Final answer
    x = 12,196.00

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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.