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Finding the Fourth Proportional to 9,735.90, 14,599.53 and 3,890.94

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Solution

The fourth proportional to 9,735.90, 14,599.53 and 3,890.94 is: 5,834.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.90 : 14,599.53 = 3,890.94 : x
  2. Step 2: Convert to fraction form
    9,735.90/14,599.53 = 3,890.94/x
  3. Step 3: Cross multiply
    9,735.90x = 14,599.53 × 3,890.94
  4. Step 4: Simplify right side
    9,735.90x = 56,805,895.26
  5. Step 5: Solve for x
    x = 56,805,895.26/9,735.90
  6. Step 6: Final answer
    x = 5,834.68

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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.