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Finding the Fourth Proportional to 9,597.76, 13,244.79 and 5,406.02

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Solution

The fourth proportional to 9,597.76, 13,244.79 and 5,406.02 is: 7,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.76 : 13,244.79 = 5,406.02 : x
  2. Step 2: Convert to fraction form
    9,597.76/13,244.79 = 5,406.02/x
  3. Step 3: Cross multiply
    9,597.76x = 13,244.79 × 5,406.02
  4. Step 4: Simplify right side
    9,597.76x = 71,601,599.64
  5. Step 5: Solve for x
    x = 71,601,599.64/9,597.76
  6. Step 6: Final answer
    x = 7,460.24

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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.