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Finding the Fourth Proportional to 9,548.40, 13,176.84 and 5,356.68

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Solution

The fourth proportional to 9,548.40, 13,176.84 and 5,356.68 is: 7,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,548.40 : 13,176.84 = 5,356.68 : x
  2. Step 2: Convert to fraction form
    9,548.40/13,176.84 = 5,356.68/x
  3. Step 3: Cross multiply
    9,548.40x = 13,176.84 × 5,356.68
  4. Step 4: Simplify right side
    9,548.40x = 70,584,115.29
  5. Step 5: Solve for x
    x = 70,584,115.29/9,548.40
  6. Step 6: Final answer
    x = 7,392.25

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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.