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Finding the Fourth Proportional to 9,709.22, 14,498.02 and 7,712.44

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Solution

The fourth proportional to 9,709.22, 14,498.02 and 7,712.44 is: 11,516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.22 : 14,498.02 = 7,712.44 : x
  2. Step 2: Convert to fraction form
    9,709.22/14,498.02 = 7,712.44/x
  3. Step 3: Cross multiply
    9,709.22x = 14,498.02 × 7,712.44
  4. Step 4: Simplify right side
    9,709.22x = 111,815,036.88
  5. Step 5: Solve for x
    x = 111,815,036.88/9,709.22
  6. Step 6: Final answer
    x = 11,516.38

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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.