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Finding the Fourth Proportional to 9,774.52, 14,661.74 and 2,378.95

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Solution

The fourth proportional to 9,774.52, 14,661.74 and 2,378.95 is: 3,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.52 : 14,661.74 = 2,378.95 : x
  2. Step 2: Convert to fraction form
    9,774.52/14,661.74 = 2,378.95/x
  3. Step 3: Cross multiply
    9,774.52x = 14,661.74 × 2,378.95
  4. Step 4: Simplify right side
    9,774.52x = 34,879,534.48
  5. Step 5: Solve for x
    x = 34,879,534.48/9,774.52
  6. Step 6: Final answer
    x = 3,568.41

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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.