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Finding the Fourth Proportional to 9,762.36, 14,645.08 and 3,187.04

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Solution

The fourth proportional to 9,762.36, 14,645.08 and 3,187.04 is: 4,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.36 : 14,645.08 = 3,187.04 : x
  2. Step 2: Convert to fraction form
    9,762.36/14,645.08 = 3,187.04/x
  3. Step 3: Cross multiply
    9,762.36x = 14,645.08 × 3,187.04
  4. Step 4: Simplify right side
    9,762.36x = 46,674,455.76
  5. Step 5: Solve for x
    x = 46,674,455.76/9,762.36
  6. Step 6: Final answer
    x = 4,781.06

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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.