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Finding the Fourth Proportional to 6,476.04, 9,691.38 and 4,828.50

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Solution

The fourth proportional to 6,476.04, 9,691.38 and 4,828.50 is: 7,225.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.04 : 9,691.38 = 4,828.50 : x
  2. Step 2: Convert to fraction form
    6,476.04/9,691.38 = 4,828.50/x
  3. Step 3: Cross multiply
    6,476.04x = 9,691.38 × 4,828.50
  4. Step 4: Simplify right side
    6,476.04x = 46,794,828.33
  5. Step 5: Solve for x
    x = 46,794,828.33/6,476.04
  6. Step 6: Final answer
    x = 7,225.84

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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.