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Finding the Fourth Proportional to 9,597.39, 13,245.21 and 5,406.45

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Solution

The fourth proportional to 9,597.39, 13,245.21 and 5,406.45 is: 7,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.39 : 13,245.21 = 5,406.45 : x
  2. Step 2: Convert to fraction form
    9,597.39/13,245.21 = 5,406.45/x
  3. Step 3: Cross multiply
    9,597.39x = 13,245.21 × 5,406.45
  4. Step 4: Simplify right side
    9,597.39x = 71,609,565.60
  5. Step 5: Solve for x
    x = 71,609,565.60/9,597.39
  6. Step 6: Final answer
    x = 7,461.36

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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.