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Finding the Fourth Proportional to 6,434.88, 8,888 and 4,663.68

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Solution

The fourth proportional to 6,434.88, 8,888 and 4,663.68 is: 6,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.88 : 8,888 = 4,663.68 : x
  2. Step 2: Convert to fraction form
    6,434.88/8,888 = 4,663.68/x
  3. Step 3: Cross multiply
    6,434.88x = 8,888 × 4,663.68
  4. Step 4: Simplify right side
    6,434.88x = 41,450,787.84
  5. Step 5: Solve for x
    x = 41,450,787.84/6,434.88
  6. Step 6: Final answer
    x = 6,441.58

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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.