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Finding the Fourth Proportional to 11,308.51, 15,624.16 and 9,414.01

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Solution

The fourth proportional to 11,308.51, 15,624.16 and 9,414.01 is: 13,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308.51 : 15,624.16 = 9,414.01 : x
  2. Step 2: Convert to fraction form
    11,308.51/15,624.16 = 9,414.01/x
  3. Step 3: Cross multiply
    11,308.51x = 15,624.16 × 9,414.01
  4. Step 4: Simplify right side
    11,308.51x = 147,085,998.48
  5. Step 5: Solve for x
    x = 147,085,998.48/11,308.51
  6. Step 6: Final answer
    x = 13,006.66

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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.