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Finding the Fourth Proportional to 9,265.07, 13,894.16 and 3,023.61

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Solution

The fourth proportional to 9,265.07, 13,894.16 and 3,023.61 is: 4,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.07 : 13,894.16 = 3,023.61 : x
  2. Step 2: Convert to fraction form
    9,265.07/13,894.16 = 3,023.61/x
  3. Step 3: Cross multiply
    9,265.07x = 13,894.16 × 3,023.61
  4. Step 4: Simplify right side
    9,265.07x = 42,010,506.00
  5. Step 5: Solve for x
    x = 42,010,506.00/9,265.07
  6. Step 6: Final answer
    x = 4,534.29

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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.