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Finding the Fourth Proportional to 7,809.12, 11,723.04 and 6,573.60

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Solution

The fourth proportional to 7,809.12, 11,723.04 and 6,573.60 is: 9,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.12 : 11,723.04 = 6,573.60 : x
  2. Step 2: Convert to fraction form
    7,809.12/11,723.04 = 6,573.60/x
  3. Step 3: Cross multiply
    7,809.12x = 11,723.04 × 6,573.60
  4. Step 4: Simplify right side
    7,809.12x = 77,062,575.74
  5. Step 5: Solve for x
    x = 77,062,575.74/7,809.12
  6. Step 6: Final answer
    x = 9,868.28

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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.