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Finding the Fourth Proportional to 6,485.90, 9,712.65 and 4,282.70

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Solution

The fourth proportional to 6,485.90, 9,712.65 and 4,282.70 is: 6,413.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.90 : 9,712.65 = 4,282.70 : x
  2. Step 2: Convert to fraction form
    6,485.90/9,712.65 = 4,282.70/x
  3. Step 3: Cross multiply
    6,485.90x = 9,712.65 × 4,282.70
  4. Step 4: Simplify right side
    6,485.90x = 41,596,366.16
  5. Step 5: Solve for x
    x = 41,596,366.16/6,485.90
  6. Step 6: Final answer
    x = 6,413.35

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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.