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Finding the Fourth Proportional to 9,774.42, 14,661.64 and 2,378.82

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Solution

The fourth proportional to 9,774.42, 14,661.64 and 2,378.82 is: 3,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.42 : 14,661.64 = 2,378.82 : x
  2. Step 2: Convert to fraction form
    9,774.42/14,661.64 = 2,378.82/x
  3. Step 3: Cross multiply
    9,774.42x = 14,661.64 × 2,378.82
  4. Step 4: Simplify right side
    9,774.42x = 34,877,402.46
  5. Step 5: Solve for x
    x = 34,877,402.46/9,774.42
  6. Step 6: Final answer
    x = 3,568.23

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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.