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Finding the Fourth Proportional to 11,134.03, 15,394.50 and 9,732.76

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Solution

The fourth proportional to 11,134.03, 15,394.50 and 9,732.76 is: 13,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.03 : 15,394.50 = 9,732.76 : x
  2. Step 2: Convert to fraction form
    11,134.03/15,394.50 = 9,732.76/x
  3. Step 3: Cross multiply
    11,134.03x = 15,394.50 × 9,732.76
  4. Step 4: Simplify right side
    11,134.03x = 149,830,973.82
  5. Step 5: Solve for x
    x = 149,830,973.82/11,134.03
  6. Step 6: Final answer
    x = 13,457.03

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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.