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Finding the Fourth Proportional to 7,036, 9,709.84 and 4,556.32

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Solution

The fourth proportional to 7,036, 9,709.84 and 4,556.32 is: 6,287.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,036 : 9,709.84 = 4,556.32 : x
  2. Step 2: Convert to fraction form
    7,036/9,709.84 = 4,556.32/x
  3. Step 3: Cross multiply
    7,036x = 9,709.84 × 4,556.32
  4. Step 4: Simplify right side
    7,036x = 44,241,138.19
  5. Step 5: Solve for x
    x = 44,241,138.19/7,036
  6. Step 6: Final answer
    x = 6,287.83

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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.