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Finding the Fourth Proportional to 9,311.06, 12,852.51 and 5,585.06

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Solution

The fourth proportional to 9,311.06, 12,852.51 and 5,585.06 is: 7,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.06 : 12,852.51 = 5,585.06 : x
  2. Step 2: Convert to fraction form
    9,311.06/12,852.51 = 5,585.06/x
  3. Step 3: Cross multiply
    9,311.06x = 12,852.51 × 5,585.06
  4. Step 4: Simplify right side
    9,311.06x = 71,782,039.50
  5. Step 5: Solve for x
    x = 71,782,039.50/9,311.06
  6. Step 6: Final answer
    x = 7,709.33

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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.