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Finding the Fourth Proportional to 7,033.04, 9,702.78 and 4,047.26

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Solution

The fourth proportional to 7,033.04, 9,702.78 and 4,047.26 is: 5,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.04 : 9,702.78 = 4,047.26 : x
  2. Step 2: Convert to fraction form
    7,033.04/9,702.78 = 4,047.26/x
  3. Step 3: Cross multiply
    7,033.04x = 9,702.78 × 4,047.26
  4. Step 4: Simplify right side
    7,033.04x = 39,269,624.87
  5. Step 5: Solve for x
    x = 39,269,624.87/7,033.04
  6. Step 6: Final answer
    x = 5,583.60

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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.