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Finding the Fourth Proportional to 9,498.04, 13,106.82 and 5,305.48

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Solution

The fourth proportional to 9,498.04, 13,106.82 and 5,305.48 is: 7,321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.04 : 13,106.82 = 5,305.48 : x
  2. Step 2: Convert to fraction form
    9,498.04/13,106.82 = 5,305.48/x
  3. Step 3: Cross multiply
    9,498.04x = 13,106.82 × 5,305.48
  4. Step 4: Simplify right side
    9,498.04x = 69,537,971.37
  5. Step 5: Solve for x
    x = 69,537,971.37/9,498.04
  6. Step 6: Final answer
    x = 7,321.30

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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.