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Finding the Fourth Proportional to 9,603.16, 13,252.86 and 5,411.80

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Solution

The fourth proportional to 9,603.16, 13,252.86 and 5,411.80 is: 7,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.16 : 13,252.86 = 5,411.80 : x
  2. Step 2: Convert to fraction form
    9,603.16/13,252.86 = 5,411.80/x
  3. Step 3: Cross multiply
    9,603.16x = 13,252.86 × 5,411.80
  4. Step 4: Simplify right side
    9,603.16x = 71,721,827.75
  5. Step 5: Solve for x
    x = 71,721,827.75/9,603.16
  6. Step 6: Final answer
    x = 7,468.57

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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.