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Finding the Fourth Proportional to 9,643.68, 14,441.04 and 7,699.68

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Solution

The fourth proportional to 9,643.68, 14,441.04 and 7,699.68 is: 11,529.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.68 : 14,441.04 = 7,699.68 : x
  2. Step 2: Convert to fraction form
    9,643.68/14,441.04 = 7,699.68/x
  3. Step 3: Cross multiply
    9,643.68x = 14,441.04 × 7,699.68
  4. Step 4: Simplify right side
    9,643.68x = 111,191,386.87
  5. Step 5: Solve for x
    x = 111,191,386.87/9,643.68
  6. Step 6: Final answer
    x = 11,529.97

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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.