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Finding the Fourth Proportional to 9,549, 13,177.74 and 5,300.16

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Solution

The fourth proportional to 9,549, 13,177.74 and 5,300.16 is: 7,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549 : 13,177.74 = 5,300.16 : x
  2. Step 2: Convert to fraction form
    9,549/13,177.74 = 5,300.16/x
  3. Step 3: Cross multiply
    9,549x = 13,177.74 × 5,300.16
  4. Step 4: Simplify right side
    9,549x = 69,844,130.44
  5. Step 5: Solve for x
    x = 69,844,130.44/9,549
  6. Step 6: Final answer
    x = 7,314.29

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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.