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Finding the Fourth Proportional to 9,303.75, 13,955.67 and 2,378.25

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Solution

The fourth proportional to 9,303.75, 13,955.67 and 2,378.25 is: 3,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.75 : 13,955.67 = 2,378.25 : x
  2. Step 2: Convert to fraction form
    9,303.75/13,955.67 = 2,378.25/x
  3. Step 3: Cross multiply
    9,303.75x = 13,955.67 × 2,378.25
  4. Step 4: Simplify right side
    9,303.75x = 33,190,072.18
  5. Step 5: Solve for x
    x = 33,190,072.18/9,303.75
  6. Step 6: Final answer
    x = 3,567.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.