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Finding the Fourth Proportional to 9,643.61, 14,451.44 and 4,707.68

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Solution

The fourth proportional to 9,643.61, 14,451.44 and 4,707.68 is: 7,054.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.61 : 14,451.44 = 4,707.68 : x
  2. Step 2: Convert to fraction form
    9,643.61/14,451.44 = 4,707.68/x
  3. Step 3: Cross multiply
    9,643.61x = 14,451.44 × 4,707.68
  4. Step 4: Simplify right side
    9,643.61x = 68,032,659.26
  5. Step 5: Solve for x
    x = 68,032,659.26/9,643.61
  6. Step 6: Final answer
    x = 7,054.69

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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.