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Finding the Fourth Proportional to 9,735.10, 14,603.17 and 3,160.80

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Solution

The fourth proportional to 9,735.10, 14,603.17 and 3,160.80 is: 4,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.10 : 14,603.17 = 3,160.80 : x
  2. Step 2: Convert to fraction form
    9,735.10/14,603.17 = 3,160.80/x
  3. Step 3: Cross multiply
    9,735.10x = 14,603.17 × 3,160.80
  4. Step 4: Simplify right side
    9,735.10x = 46,157,728.34
  5. Step 5: Solve for x
    x = 46,157,728.34/9,735.10
  6. Step 6: Final answer
    x = 4,741.37

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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.