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Finding the Fourth Proportional to 7,923.40, 11,870.70 and 6,454.60

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Solution

The fourth proportional to 7,923.40, 11,870.70 and 6,454.60 is: 9,670.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.40 : 11,870.70 = 6,454.60 : x
  2. Step 2: Convert to fraction form
    7,923.40/11,870.70 = 6,454.60/x
  3. Step 3: Cross multiply
    7,923.40x = 11,870.70 × 6,454.60
  4. Step 4: Simplify right side
    7,923.40x = 76,620,620.22
  5. Step 5: Solve for x
    x = 76,620,620.22/7,923.40
  6. Step 6: Final answer
    x = 9,670.17

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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.