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Finding the Fourth Proportional to 6,688.58, 9,233.60 and 4,709.75

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Solution

The fourth proportional to 6,688.58, 9,233.60 and 4,709.75 is: 6,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.58 : 9,233.60 = 4,709.75 : x
  2. Step 2: Convert to fraction form
    6,688.58/9,233.60 = 4,709.75/x
  3. Step 3: Cross multiply
    6,688.58x = 9,233.60 × 4,709.75
  4. Step 4: Simplify right side
    6,688.58x = 43,487,877.88
  5. Step 5: Solve for x
    x = 43,487,877.88/6,688.58
  6. Step 6: Final answer
    x = 6,501.82

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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.