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Finding the Fourth Proportional to 9,274.59, 13,894.38 and 4,589.19

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Solution

The fourth proportional to 9,274.59, 13,894.38 and 4,589.19 is: 6,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.59 : 13,894.38 = 4,589.19 : x
  2. Step 2: Convert to fraction form
    9,274.59/13,894.38 = 4,589.19/x
  3. Step 3: Cross multiply
    9,274.59x = 13,894.38 × 4,589.19
  4. Step 4: Simplify right side
    9,274.59x = 63,763,949.75
  5. Step 5: Solve for x
    x = 63,763,949.75/9,274.59
  6. Step 6: Final answer
    x = 6,875.12

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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.