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Finding the Fourth Proportional to 9,597.98, 13,245.03 and 5,406.23

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Solution

The fourth proportional to 9,597.98, 13,245.03 and 5,406.23 is: 7,460.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.98 : 13,245.03 = 5,406.23 : x
  2. Step 2: Convert to fraction form
    9,597.98/13,245.03 = 5,406.23/x
  3. Step 3: Cross multiply
    9,597.98x = 13,245.03 × 5,406.23
  4. Step 4: Simplify right side
    9,597.98x = 71,605,612.31
  5. Step 5: Solve for x
    x = 71,605,612.31/9,597.98
  6. Step 6: Final answer
    x = 7,460.49

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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.