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Finding the Fourth Proportional to 10,629.56, 14,671.32 and 6,437

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Solution

The fourth proportional to 10,629.56, 14,671.32 and 6,437 is: 8,884.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,629.56 : 14,671.32 = 6,437 : x
  2. Step 2: Convert to fraction form
    10,629.56/14,671.32 = 6,437/x
  3. Step 3: Cross multiply
    10,629.56x = 14,671.32 × 6,437
  4. Step 4: Simplify right side
    10,629.56x = 94,439,286.84
  5. Step 5: Solve for x
    x = 94,439,286.84/10,629.56
  6. Step 6: Final answer
    x = 8,884.59

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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.