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Finding the Fourth Proportional to 9,837.51, 13,577.52 and 5,804.09

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Solution

The fourth proportional to 9,837.51, 13,577.52 and 5,804.09 is: 8,010.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.51 : 13,577.52 = 5,804.09 : x
  2. Step 2: Convert to fraction form
    9,837.51/13,577.52 = 5,804.09/x
  3. Step 3: Cross multiply
    9,837.51x = 13,577.52 × 5,804.09
  4. Step 4: Simplify right side
    9,837.51x = 78,805,080.17
  5. Step 5: Solve for x
    x = 78,805,080.17/9,837.51
  6. Step 6: Final answer
    x = 8,010.67

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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.