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Finding the Fourth Proportional to 9,735.12, 14,605.92 and 5,840.64

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Solution

The fourth proportional to 9,735.12, 14,605.92 and 5,840.64 is: 8,762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.12 : 14,605.92 = 5,840.64 : x
  2. Step 2: Convert to fraction form
    9,735.12/14,605.92 = 5,840.64/x
  3. Step 3: Cross multiply
    9,735.12x = 14,605.92 × 5,840.64
  4. Step 4: Simplify right side
    9,735.12x = 85,307,920.59
  5. Step 5: Solve for x
    x = 85,307,920.59/9,735.12
  6. Step 6: Final answer
    x = 8,762.90

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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.