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Finding the Fourth Proportional to 9,774.95, 14,663.23 and 3,200.99

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Solution

The fourth proportional to 9,774.95, 14,663.23 and 3,200.99 is: 4,801.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.95 : 14,663.23 = 3,200.99 : x
  2. Step 2: Convert to fraction form
    9,774.95/14,663.23 = 3,200.99/x
  3. Step 3: Cross multiply
    9,774.95x = 14,663.23 × 3,200.99
  4. Step 4: Simplify right side
    9,774.95x = 46,936,771.28
  5. Step 5: Solve for x
    x = 46,936,771.28/9,774.95
  6. Step 6: Final answer
    x = 4,801.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.