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Finding the Fourth Proportional to 9,269.07, 12,797.13 and 7,140.59

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Solution

The fourth proportional to 9,269.07, 12,797.13 and 7,140.59 is: 9,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.07 : 12,797.13 = 7,140.59 : x
  2. Step 2: Convert to fraction form
    9,269.07/12,797.13 = 7,140.59/x
  3. Step 3: Cross multiply
    9,269.07x = 12,797.13 × 7,140.59
  4. Step 4: Simplify right side
    9,269.07x = 91,379,058.51
  5. Step 5: Solve for x
    x = 91,379,058.51/9,269.07
  6. Step 6: Final answer
    x = 9,858.49

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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.