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Finding the Fourth Proportional to 6,296.58, 9,448.52 and 3,485.69

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Solution

The fourth proportional to 6,296.58, 9,448.52 and 3,485.69 is: 5,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.58 : 9,448.52 = 3,485.69 : x
  2. Step 2: Convert to fraction form
    6,296.58/9,448.52 = 3,485.69/x
  3. Step 3: Cross multiply
    6,296.58x = 9,448.52 × 3,485.69
  4. Step 4: Simplify right side
    6,296.58x = 32,934,547.01
  5. Step 5: Solve for x
    x = 32,934,547.01/6,296.58
  6. Step 6: Final answer
    x = 5,230.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.