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Finding the Fourth Proportional to 9,723.60, 14,574.60 and 5,344.20

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Solution

The fourth proportional to 9,723.60, 14,574.60 and 5,344.20 is: 8,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.60 : 14,574.60 = 5,344.20 : x
  2. Step 2: Convert to fraction form
    9,723.60/14,574.60 = 5,344.20/x
  3. Step 3: Cross multiply
    9,723.60x = 14,574.60 × 5,344.20
  4. Step 4: Simplify right side
    9,723.60x = 77,889,577.32
  5. Step 5: Solve for x
    x = 77,889,577.32/9,723.60
  6. Step 6: Final answer
    x = 8,010.36

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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.