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Finding the Fourth Proportional to 9,603.19, 13,253.27 and 5,827.31

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Solution

The fourth proportional to 9,603.19, 13,253.27 and 5,827.31 is: 8,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.19 : 13,253.27 = 5,827.31 : x
  2. Step 2: Convert to fraction form
    9,603.19/13,253.27 = 5,827.31/x
  3. Step 3: Cross multiply
    9,603.19x = 13,253.27 × 5,827.31
  4. Step 4: Simplify right side
    9,603.19x = 77,230,883.49
  5. Step 5: Solve for x
    x = 77,230,883.49/9,603.19
  6. Step 6: Final answer
    x = 8,042.22

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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.