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Finding the Fourth Proportional to 6,334.66, 9,493.62 and 4,585.51

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Solution

The fourth proportional to 6,334.66, 9,493.62 and 4,585.51 is: 6,872.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.66 : 9,493.62 = 4,585.51 : x
  2. Step 2: Convert to fraction form
    6,334.66/9,493.62 = 4,585.51/x
  3. Step 3: Cross multiply
    6,334.66x = 9,493.62 × 4,585.51
  4. Step 4: Simplify right side
    6,334.66x = 43,533,089.45
  5. Step 5: Solve for x
    x = 43,533,089.45/6,334.66
  6. Step 6: Final answer
    x = 6,872.21

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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.