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Finding the Fourth Proportional to 9,263.12, 13,894.74 and 2,689.40

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Solution

The fourth proportional to 9,263.12, 13,894.74 and 2,689.40 is: 4,034.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,263.12 : 13,894.74 = 2,689.40 : x
  2. Step 2: Convert to fraction form
    9,263.12/13,894.74 = 2,689.40/x
  3. Step 3: Cross multiply
    9,263.12x = 13,894.74 × 2,689.40
  4. Step 4: Simplify right side
    9,263.12x = 37,368,513.76
  5. Step 5: Solve for x
    x = 37,368,513.76/9,263.12
  6. Step 6: Final answer
    x = 4,034.12

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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.