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Finding the Fourth Proportional to 9,602.75, 14,394.69 and 4,599.36

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Solution

The fourth proportional to 9,602.75, 14,394.69 and 4,599.36 is: 6,894.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.75 : 14,394.69 = 4,599.36 : x
  2. Step 2: Convert to fraction form
    9,602.75/14,394.69 = 4,599.36/x
  3. Step 3: Cross multiply
    9,602.75x = 14,394.69 × 4,599.36
  4. Step 4: Simplify right side
    9,602.75x = 66,206,361.40
  5. Step 5: Solve for x
    x = 66,206,361.40/9,602.75
  6. Step 6: Final answer
    x = 6,894.52

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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.