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Finding the Fourth Proportional to 9,094.68, 13,663.89 and 8,438.58

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Solution

The fourth proportional to 9,094.68, 13,663.89 and 8,438.58 is: 12,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.68 : 13,663.89 = 8,438.58 : x
  2. Step 2: Convert to fraction form
    9,094.68/13,663.89 = 8,438.58/x
  3. Step 3: Cross multiply
    9,094.68x = 13,663.89 × 8,438.58
  4. Step 4: Simplify right side
    9,094.68x = 115,303,828.88
  5. Step 5: Solve for x
    x = 115,303,828.88/9,094.68
  6. Step 6: Final answer
    x = 12,678.16

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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.