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Finding the Fourth Proportional to 9,617.53, 13,269.93 and 5,840.59

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Solution

The fourth proportional to 9,617.53, 13,269.93 and 5,840.59 is: 8,058.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.53 : 13,269.93 = 5,840.59 : x
  2. Step 2: Convert to fraction form
    9,617.53/13,269.93 = 5,840.59/x
  3. Step 3: Cross multiply
    9,617.53x = 13,269.93 × 5,840.59
  4. Step 4: Simplify right side
    9,617.53x = 77,504,154.11
  5. Step 5: Solve for x
    x = 77,504,154.11/9,617.53
  6. Step 6: Final answer
    x = 8,058.64

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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.