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Finding the Fourth Proportional to 9,599.28, 13,247.40 and 5,407.50

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Solution

The fourth proportional to 9,599.28, 13,247.40 and 5,407.50 is: 7,462.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.28 : 13,247.40 = 5,407.50 : x
  2. Step 2: Convert to fraction form
    9,599.28/13,247.40 = 5,407.50/x
  3. Step 3: Cross multiply
    9,599.28x = 13,247.40 × 5,407.50
  4. Step 4: Simplify right side
    9,599.28x = 71,635,315.50
  5. Step 5: Solve for x
    x = 71,635,315.50/9,599.28
  6. Step 6: Final answer
    x = 7,462.57

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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.