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Finding the Fourth Proportional to 10,380.69, 14,317.43 and 6,604.47

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Solution

The fourth proportional to 10,380.69, 14,317.43 and 6,604.47 is: 9,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380.69 : 14,317.43 = 6,604.47 : x
  2. Step 2: Convert to fraction form
    10,380.69/14,317.43 = 6,604.47/x
  3. Step 3: Cross multiply
    10,380.69x = 14,317.43 × 6,604.47
  4. Step 4: Simplify right side
    10,380.69x = 94,559,003.89
  5. Step 5: Solve for x
    x = 94,559,003.89/10,380.69
  6. Step 6: Final answer
    x = 9,109.13

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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.