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Finding the Fourth Proportional to 6,838.50, 9,456.57 and 6,529.08

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Solution

The fourth proportional to 6,838.50, 9,456.57 and 6,529.08 is: 9,028.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838.50 : 9,456.57 = 6,529.08 : x
  2. Step 2: Convert to fraction form
    6,838.50/9,456.57 = 6,529.08/x
  3. Step 3: Cross multiply
    6,838.50x = 9,456.57 × 6,529.08
  4. Step 4: Simplify right side
    6,838.50x = 61,742,702.06
  5. Step 5: Solve for x
    x = 61,742,702.06/6,838.50
  6. Step 6: Final answer
    x = 9,028.69

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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.