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Finding the Fourth Proportional to 9,762.12, 14,643.72 and 3,190.32

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Solution

The fourth proportional to 9,762.12, 14,643.72 and 3,190.32 is: 4,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.12 : 14,643.72 = 3,190.32 : x
  2. Step 2: Convert to fraction form
    9,762.12/14,643.72 = 3,190.32/x
  3. Step 3: Cross multiply
    9,762.12x = 14,643.72 × 3,190.32
  4. Step 4: Simplify right side
    9,762.12x = 46,718,152.79
  5. Step 5: Solve for x
    x = 46,718,152.79/9,762.12
  6. Step 6: Final answer
    x = 4,785.66

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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.