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Finding the Fourth Proportional to 6,337.08, 9,466.09 and 4,696.84

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Solution

The fourth proportional to 6,337.08, 9,466.09 and 4,696.84 is: 7,015.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.08 : 9,466.09 = 4,696.84 : x
  2. Step 2: Convert to fraction form
    6,337.08/9,466.09 = 4,696.84/x
  3. Step 3: Cross multiply
    6,337.08x = 9,466.09 × 4,696.84
  4. Step 4: Simplify right side
    6,337.08x = 44,460,710.16
  5. Step 5: Solve for x
    x = 44,460,710.16/6,337.08
  6. Step 6: Final answer
    x = 7,015.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.