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Finding the Fourth Proportional to 9,543.06, 13,162.76 and 9,221.94

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Solution

The fourth proportional to 9,543.06, 13,162.76 and 9,221.94 is: 12,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.06 : 13,162.76 = 9,221.94 : x
  2. Step 2: Convert to fraction form
    9,543.06/13,162.76 = 9,221.94/x
  3. Step 3: Cross multiply
    9,543.06x = 13,162.76 × 9,221.94
  4. Step 4: Simplify right side
    9,543.06x = 121,386,182.95
  5. Step 5: Solve for x
    x = 121,386,182.95/9,543.06
  6. Step 6: Final answer
    x = 12,719.84

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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.