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Finding the Fourth Proportional to 9,085.66, 12,536.30 and 5,357.50

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Solution

The fourth proportional to 9,085.66, 12,536.30 and 5,357.50 is: 7,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.66 : 12,536.30 = 5,357.50 : x
  2. Step 2: Convert to fraction form
    9,085.66/12,536.30 = 5,357.50/x
  3. Step 3: Cross multiply
    9,085.66x = 12,536.30 × 5,357.50
  4. Step 4: Simplify right side
    9,085.66x = 67,163,227.25
  5. Step 5: Solve for x
    x = 67,163,227.25/9,085.66
  6. Step 6: Final answer
    x = 7,392.22

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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.