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Finding the Fourth Proportional to 9,774.76, 14,665.25 and 3,199.45

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Solution

The fourth proportional to 9,774.76, 14,665.25 and 3,199.45 is: 4,800.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.76 : 14,665.25 = 3,199.45 : x
  2. Step 2: Convert to fraction form
    9,774.76/14,665.25 = 3,199.45/x
  3. Step 3: Cross multiply
    9,774.76x = 14,665.25 × 3,199.45
  4. Step 4: Simplify right side
    9,774.76x = 46,920,734.11
  5. Step 5: Solve for x
    x = 46,920,734.11/9,774.76
  6. Step 6: Final answer
    x = 4,800.19

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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.