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Finding the Fourth Proportional to 9,602.63, 13,252.46 and 5,411.69

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Solution

The fourth proportional to 9,602.63, 13,252.46 and 5,411.69 is: 7,468.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.63 : 13,252.46 = 5,411.69 : x
  2. Step 2: Convert to fraction form
    9,602.63/13,252.46 = 5,411.69/x
  3. Step 3: Cross multiply
    9,602.63x = 13,252.46 × 5,411.69
  4. Step 4: Simplify right side
    9,602.63x = 71,718,205.26
  5. Step 5: Solve for x
    x = 71,718,205.26/9,602.63
  6. Step 6: Final answer
    x = 7,468.60

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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.