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Finding the Fourth Proportional to 9,762.24, 14,646.06 and 3,188.82

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Solution

The fourth proportional to 9,762.24, 14,646.06 and 3,188.82 is: 4,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.24 : 14,646.06 = 3,188.82 : x
  2. Step 2: Convert to fraction form
    9,762.24/14,646.06 = 3,188.82/x
  3. Step 3: Cross multiply
    9,762.24x = 14,646.06 × 3,188.82
  4. Step 4: Simplify right side
    9,762.24x = 46,703,649.05
  5. Step 5: Solve for x
    x = 46,703,649.05/9,762.24
  6. Step 6: Final answer
    x = 4,784.11

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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.