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Finding the Fourth Proportional to 9,537.80, 13,162.94 and 5,290.19

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Solution

The fourth proportional to 9,537.80, 13,162.94 and 5,290.19 is: 7,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.80 : 13,162.94 = 5,290.19 : x
  2. Step 2: Convert to fraction form
    9,537.80/13,162.94 = 5,290.19/x
  3. Step 3: Cross multiply
    9,537.80x = 13,162.94 × 5,290.19
  4. Step 4: Simplify right side
    9,537.80x = 69,634,427.11
  5. Step 5: Solve for x
    x = 69,634,427.11/9,537.80
  6. Step 6: Final answer
    x = 7,300.89

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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.