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Finding the Fourth Proportional to 7,035.21, 9,697.32 and 4,765.86

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Solution

The fourth proportional to 7,035.21, 9,697.32 and 4,765.86 is: 6,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.21 : 9,697.32 = 4,765.86 : x
  2. Step 2: Convert to fraction form
    7,035.21/9,697.32 = 4,765.86/x
  3. Step 3: Cross multiply
    7,035.21x = 9,697.32 × 4,765.86
  4. Step 4: Simplify right side
    7,035.21x = 46,216,060.25
  5. Step 5: Solve for x
    x = 46,216,060.25/7,035.21
  6. Step 6: Final answer
    x = 6,569.25

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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.