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Finding the Fourth Proportional to 9,580.47, 14,369.49 and 7,118.88

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Solution

The fourth proportional to 9,580.47, 14,369.49 and 7,118.88 is: 10,677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.47 : 14,369.49 = 7,118.88 : x
  2. Step 2: Convert to fraction form
    9,580.47/14,369.49 = 7,118.88/x
  3. Step 3: Cross multiply
    9,580.47x = 14,369.49 × 7,118.88
  4. Step 4: Simplify right side
    9,580.47x = 102,294,674.97
  5. Step 5: Solve for x
    x = 102,294,674.97/9,580.47
  6. Step 6: Final answer
    x = 10,677.42

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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.