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Finding the Fourth Proportional to 9,597.17, 13,238.74 and 5,617.51

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Solution

The fourth proportional to 9,597.17, 13,238.74 and 5,617.51 is: 7,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.17 : 13,238.74 = 5,617.51 : x
  2. Step 2: Convert to fraction form
    9,597.17/13,238.74 = 5,617.51/x
  3. Step 3: Cross multiply
    9,597.17x = 13,238.74 × 5,617.51
  4. Step 4: Simplify right side
    9,597.17x = 74,368,777.91
  5. Step 5: Solve for x
    x = 74,368,777.91/9,597.17
  6. Step 6: Final answer
    x = 7,749.04

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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.