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Finding the Fourth Proportional to 9,758.93, 13,464 and 5,509.49

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Solution

The fourth proportional to 9,758.93, 13,464 and 5,509.49 is: 7,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.93 : 13,464 = 5,509.49 : x
  2. Step 2: Convert to fraction form
    9,758.93/13,464 = 5,509.49/x
  3. Step 3: Cross multiply
    9,758.93x = 13,464 × 5,509.49
  4. Step 4: Simplify right side
    9,758.93x = 74,179,706.04
  5. Step 5: Solve for x
    x = 74,179,706.04/9,758.93
  6. Step 6: Final answer
    x = 7,601.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.