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Finding the Fourth Proportional to 6,154.94, 9,238.67 and 4,506.58

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Solution

The fourth proportional to 6,154.94, 9,238.67 and 4,506.58 is: 6,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.94 : 9,238.67 = 4,506.58 : x
  2. Step 2: Convert to fraction form
    6,154.94/9,238.67 = 4,506.58/x
  3. Step 3: Cross multiply
    6,154.94x = 9,238.67 × 4,506.58
  4. Step 4: Simplify right side
    6,154.94x = 41,634,805.45
  5. Step 5: Solve for x
    x = 41,634,805.45/6,154.94
  6. Step 6: Final answer
    x = 6,764.45

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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.