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Finding the Fourth Proportional to 9,541.58, 14,297.84 and 4,854.56

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Solution

The fourth proportional to 9,541.58, 14,297.84 and 4,854.56 is: 7,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.58 : 14,297.84 = 4,854.56 : x
  2. Step 2: Convert to fraction form
    9,541.58/14,297.84 = 4,854.56/x
  3. Step 3: Cross multiply
    9,541.58x = 14,297.84 × 4,854.56
  4. Step 4: Simplify right side
    9,541.58x = 69,409,722.15
  5. Step 5: Solve for x
    x = 69,409,722.15/9,541.58
  6. Step 6: Final answer
    x = 7,274.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.