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Finding the Fourth Proportional to 9,765.57, 14,594.77 and 7,138.61

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Solution

The fourth proportional to 9,765.57, 14,594.77 and 7,138.61 is: 10,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.57 : 14,594.77 = 7,138.61 : x
  2. Step 2: Convert to fraction form
    9,765.57/14,594.77 = 7,138.61/x
  3. Step 3: Cross multiply
    9,765.57x = 14,594.77 × 7,138.61
  4. Step 4: Simplify right side
    9,765.57x = 104,186,371.07
  5. Step 5: Solve for x
    x = 104,186,371.07/9,765.57
  6. Step 6: Final answer
    x = 10,668.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.