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Finding the Fourth Proportional to 9,774.52, 14,652.88 and 5,089.02

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Solution

The fourth proportional to 9,774.52, 14,652.88 and 5,089.02 is: 7,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.52 : 14,652.88 = 5,089.02 : x
  2. Step 2: Convert to fraction form
    9,774.52/14,652.88 = 5,089.02/x
  3. Step 3: Cross multiply
    9,774.52x = 14,652.88 × 5,089.02
  4. Step 4: Simplify right side
    9,774.52x = 74,568,799.38
  5. Step 5: Solve for x
    x = 74,568,799.38/9,774.52
  6. Step 6: Final answer
    x = 7,628.90

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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.