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Finding the Fourth Proportional to 10,530.69, 14,534.39 and 6,939.36

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Solution

The fourth proportional to 10,530.69, 14,534.39 and 6,939.36 is: 9,577.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.69 : 14,534.39 = 6,939.36 : x
  2. Step 2: Convert to fraction form
    10,530.69/14,534.39 = 6,939.36/x
  3. Step 3: Cross multiply
    10,530.69x = 14,534.39 × 6,939.36
  4. Step 4: Simplify right side
    10,530.69x = 100,859,329.89
  5. Step 5: Solve for x
    x = 100,859,329.89/10,530.69
  6. Step 6: Final answer
    x = 9,577.66

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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.