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Finding the Fourth Proportional to 10,644.38, 15,980.69 and 9,094.34

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Solution

The fourth proportional to 10,644.38, 15,980.69 and 9,094.34 is: 13,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.38 : 15,980.69 = 9,094.34 : x
  2. Step 2: Convert to fraction form
    10,644.38/15,980.69 = 9,094.34/x
  3. Step 3: Cross multiply
    10,644.38x = 15,980.69 × 9,094.34
  4. Step 4: Simplify right side
    10,644.38x = 145,333,771.13
  5. Step 5: Solve for x
    x = 145,333,771.13/10,644.38
  6. Step 6: Final answer
    x = 13,653.57

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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.