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Finding the Fourth Proportional to 9,804.48, 13,519.20 and 9,182.40

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Solution

The fourth proportional to 9,804.48, 13,519.20 and 9,182.40 is: 12,661.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.48 : 13,519.20 = 9,182.40 : x
  2. Step 2: Convert to fraction form
    9,804.48/13,519.20 = 9,182.40/x
  3. Step 3: Cross multiply
    9,804.48x = 13,519.20 × 9,182.40
  4. Step 4: Simplify right side
    9,804.48x = 124,138,702.08
  5. Step 5: Solve for x
    x = 124,138,702.08/9,804.48
  6. Step 6: Final answer
    x = 12,661.43

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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.