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Finding the Fourth Proportional to 9,675.03, 13,351.69 and 5,641.75

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Solution

The fourth proportional to 9,675.03, 13,351.69 and 5,641.75 is: 7,785.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.03 : 13,351.69 = 5,641.75 : x
  2. Step 2: Convert to fraction form
    9,675.03/13,351.69 = 5,641.75/x
  3. Step 3: Cross multiply
    9,675.03x = 13,351.69 × 5,641.75
  4. Step 4: Simplify right side
    9,675.03x = 75,326,802.09
  5. Step 5: Solve for x
    x = 75,326,802.09/9,675.03
  6. Step 6: Final answer
    x = 7,785.70

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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.