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Finding the Fourth Proportional to 7,035.58, 9,704.86 and 4,645.56

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Solution

The fourth proportional to 7,035.58, 9,704.86 and 4,645.56 is: 6,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.58 : 9,704.86 = 4,645.56 : x
  2. Step 2: Convert to fraction form
    7,035.58/9,704.86 = 4,645.56/x
  3. Step 3: Cross multiply
    7,035.58x = 9,704.86 × 4,645.56
  4. Step 4: Simplify right side
    7,035.58x = 45,084,509.42
  5. Step 5: Solve for x
    x = 45,084,509.42/7,035.58
  6. Step 6: Final answer
    x = 6,408.07

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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.