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Finding the Fourth Proportional to 9,148.56, 12,623.40 and 5,372.16

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Solution

The fourth proportional to 9,148.56, 12,623.40 and 5,372.16 is: 7,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.56 : 12,623.40 = 5,372.16 : x
  2. Step 2: Convert to fraction form
    9,148.56/12,623.40 = 5,372.16/x
  3. Step 3: Cross multiply
    9,148.56x = 12,623.40 × 5,372.16
  4. Step 4: Simplify right side
    9,148.56x = 67,814,924.54
  5. Step 5: Solve for x
    x = 67,814,924.54/9,148.56
  6. Step 6: Final answer
    x = 7,412.63

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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.