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Finding the Fourth Proportional to 9,111.34, 13,666.10 and 2,537.58

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Solution

The fourth proportional to 9,111.34, 13,666.10 and 2,537.58 is: 3,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.34 : 13,666.10 = 2,537.58 : x
  2. Step 2: Convert to fraction form
    9,111.34/13,666.10 = 2,537.58/x
  3. Step 3: Cross multiply
    9,111.34x = 13,666.10 × 2,537.58
  4. Step 4: Simplify right side
    9,111.34x = 34,678,809.35
  5. Step 5: Solve for x
    x = 34,678,809.35/9,111.34
  6. Step 6: Final answer
    x = 3,806.12

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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.