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Finding the Fourth Proportional to 9,788.94, 14,654.25 and 9,439.02

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Solution

The fourth proportional to 9,788.94, 14,654.25 and 9,439.02 is: 14,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.94 : 14,654.25 = 9,439.02 : x
  2. Step 2: Convert to fraction form
    9,788.94/14,654.25 = 9,439.02/x
  3. Step 3: Cross multiply
    9,788.94x = 14,654.25 × 9,439.02
  4. Step 4: Simplify right side
    9,788.94x = 138,321,758.84
  5. Step 5: Solve for x
    x = 138,321,758.84/9,788.94
  6. Step 6: Final answer
    x = 14,130.41

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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.