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Finding the Fourth Proportional to 9,230.16, 13,778.76 and 8,574.06

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Solution

The fourth proportional to 9,230.16, 13,778.76 and 8,574.06 is: 12,799.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.16 : 13,778.76 = 8,574.06 : x
  2. Step 2: Convert to fraction form
    9,230.16/13,778.76 = 8,574.06/x
  3. Step 3: Cross multiply
    9,230.16x = 13,778.76 × 8,574.06
  4. Step 4: Simplify right side
    9,230.16x = 118,139,914.97
  5. Step 5: Solve for x
    x = 118,139,914.97/9,230.16
  6. Step 6: Final answer
    x = 12,799.34

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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.