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Finding the Fourth Proportional to 9,759.40, 14,648.70 and 4,834.60

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Solution

The fourth proportional to 9,759.40, 14,648.70 and 4,834.60 is: 7,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.40 : 14,648.70 = 4,834.60 : x
  2. Step 2: Convert to fraction form
    9,759.40/14,648.70 = 4,834.60/x
  3. Step 3: Cross multiply
    9,759.40x = 14,648.70 × 4,834.60
  4. Step 4: Simplify right side
    9,759.40x = 70,820,605.02
  5. Step 5: Solve for x
    x = 70,820,605.02/9,759.40
  6. Step 6: Final answer
    x = 7,256.66

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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.