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Finding the Fourth Proportional to 7,100.69, 9,786.70 and 5,329.22

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Solution

The fourth proportional to 7,100.69, 9,786.70 and 5,329.22 is: 7,345.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.69 : 9,786.70 = 5,329.22 : x
  2. Step 2: Convert to fraction form
    7,100.69/9,786.70 = 5,329.22/x
  3. Step 3: Cross multiply
    7,100.69x = 9,786.70 × 5,329.22
  4. Step 4: Simplify right side
    7,100.69x = 52,155,477.37
  5. Step 5: Solve for x
    x = 52,155,477.37/7,100.69
  6. Step 6: Final answer
    x = 7,345.13

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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.