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Finding the Fourth Proportional to 6,877.02, 9,488.70 and 4,643.04

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Solution

The fourth proportional to 6,877.02, 9,488.70 and 4,643.04 is: 6,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.02 : 9,488.70 = 4,643.04 : x
  2. Step 2: Convert to fraction form
    6,877.02/9,488.70 = 4,643.04/x
  3. Step 3: Cross multiply
    6,877.02x = 9,488.70 × 4,643.04
  4. Step 4: Simplify right side
    6,877.02x = 44,056,413.65
  5. Step 5: Solve for x
    x = 44,056,413.65/6,877.02
  6. Step 6: Final answer
    x = 6,406.32

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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.