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Finding the Fourth Proportional to 9,358.79, 14,040 and 2,784.42

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Solution

The fourth proportional to 9,358.79, 14,040 and 2,784.42 is: 4,177.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.79 : 14,040 = 2,784.42 : x
  2. Step 2: Convert to fraction form
    9,358.79/14,040 = 2,784.42/x
  3. Step 3: Cross multiply
    9,358.79x = 14,040 × 2,784.42
  4. Step 4: Simplify right side
    9,358.79x = 39,093,256.80
  5. Step 5: Solve for x
    x = 39,093,256.80/9,358.79
  6. Step 6: Final answer
    x = 4,177.17

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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.