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Finding the Fourth Proportional to 9,448.65, 13,038.21 and 5,199.66

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Solution

The fourth proportional to 9,448.65, 13,038.21 and 5,199.66 is: 7,175.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,448.65 : 13,038.21 = 5,199.66 : x
  2. Step 2: Convert to fraction form
    9,448.65/13,038.21 = 5,199.66/x
  3. Step 3: Cross multiply
    9,448.65x = 13,038.21 × 5,199.66
  4. Step 4: Simplify right side
    9,448.65x = 67,794,259.01
  5. Step 5: Solve for x
    x = 67,794,259.01/9,448.65
  6. Step 6: Final answer
    x = 7,175.02

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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.