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Finding the Fourth Proportional to 9,603, 13,252.14 and 5,411.40

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Solution

The fourth proportional to 9,603, 13,252.14 and 5,411.40 is: 7,467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603 : 13,252.14 = 5,411.40 : x
  2. Step 2: Convert to fraction form
    9,603/13,252.14 = 5,411.40/x
  3. Step 3: Cross multiply
    9,603x = 13,252.14 × 5,411.40
  4. Step 4: Simplify right side
    9,603x = 71,712,630.40
  5. Step 5: Solve for x
    x = 71,712,630.40/9,603
  6. Step 6: Final answer
    x = 7,467.73

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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.