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Finding the Fourth Proportional to 6,483.93, 9,710.29 and 3,702.16

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Solution

The fourth proportional to 6,483.93, 9,710.29 and 3,702.16 is: 5,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,483.93 : 9,710.29 = 3,702.16 : x
  2. Step 2: Convert to fraction form
    6,483.93/9,710.29 = 3,702.16/x
  3. Step 3: Cross multiply
    6,483.93x = 9,710.29 × 3,702.16
  4. Step 4: Simplify right side
    6,483.93x = 35,949,047.23
  5. Step 5: Solve for x
    x = 35,949,047.23/6,483.93
  6. Step 6: Final answer
    x = 5,544.33

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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.