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Finding the Fourth Proportional to 9,762.11, 14,645.48 and 3,188.28

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Solution

The fourth proportional to 9,762.11, 14,645.48 and 3,188.28 is: 4,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.11 : 14,645.48 = 3,188.28 : x
  2. Step 2: Convert to fraction form
    9,762.11/14,645.48 = 3,188.28/x
  3. Step 3: Cross multiply
    9,762.11x = 14,645.48 × 3,188.28
  4. Step 4: Simplify right side
    9,762.11x = 46,693,875.03
  5. Step 5: Solve for x
    x = 46,693,875.03/9,762.11
  6. Step 6: Final answer
    x = 4,783.18

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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.