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Finding the Fourth Proportional to 10,394.94, 15,564.72 and 9,066.34

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Solution

The fourth proportional to 10,394.94, 15,564.72 and 9,066.34 is: 13,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.94 : 15,564.72 = 9,066.34 : x
  2. Step 2: Convert to fraction form
    10,394.94/15,564.72 = 9,066.34/x
  3. Step 3: Cross multiply
    10,394.94x = 15,564.72 × 9,066.34
  4. Step 4: Simplify right side
    10,394.94x = 141,115,043.52
  5. Step 5: Solve for x
    x = 141,115,043.52/10,394.94
  6. Step 6: Final answer
    x = 13,575.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.