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Finding the Fourth Proportional to 9,670.89, 13,338.23 and 6,483.09

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Solution

The fourth proportional to 9,670.89, 13,338.23 and 6,483.09 is: 8,941.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.89 : 13,338.23 = 6,483.09 : x
  2. Step 2: Convert to fraction form
    9,670.89/13,338.23 = 6,483.09/x
  3. Step 3: Cross multiply
    9,670.89x = 13,338.23 × 6,483.09
  4. Step 4: Simplify right side
    9,670.89x = 86,472,913.12
  5. Step 5: Solve for x
    x = 86,472,913.12/9,670.89
  6. Step 6: Final answer
    x = 8,941.57

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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.