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Finding the Fourth Proportional to 6,232.16, 8,594.62 and 4,642.72

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Solution

The fourth proportional to 6,232.16, 8,594.62 and 4,642.72 is: 6,402.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.16 : 8,594.62 = 4,642.72 : x
  2. Step 2: Convert to fraction form
    6,232.16/8,594.62 = 4,642.72/x
  3. Step 3: Cross multiply
    6,232.16x = 8,594.62 × 4,642.72
  4. Step 4: Simplify right side
    6,232.16x = 39,902,381.07
  5. Step 5: Solve for x
    x = 39,902,381.07/6,232.16
  6. Step 6: Final answer
    x = 6,402.65

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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.