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Finding the Fourth Proportional to 10,695.92, 14,767.34 and 9,574.95

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Solution

The fourth proportional to 10,695.92, 14,767.34 and 9,574.95 is: 13,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.92 : 14,767.34 = 9,574.95 : x
  2. Step 2: Convert to fraction form
    10,695.92/14,767.34 = 9,574.95/x
  3. Step 3: Cross multiply
    10,695.92x = 14,767.34 × 9,574.95
  4. Step 4: Simplify right side
    10,695.92x = 141,396,494.26
  5. Step 5: Solve for x
    x = 141,396,494.26/10,695.92
  6. Step 6: Final answer
    x = 13,219.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.