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Finding the Fourth Proportional to 9,619.29, 14,412.53 and 7,771.28

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Solution

The fourth proportional to 9,619.29, 14,412.53 and 7,771.28 is: 11,643.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.29 : 14,412.53 = 7,771.28 : x
  2. Step 2: Convert to fraction form
    9,619.29/14,412.53 = 7,771.28/x
  3. Step 3: Cross multiply
    9,619.29x = 14,412.53 × 7,771.28
  4. Step 4: Simplify right side
    9,619.29x = 112,003,695.22
  5. Step 5: Solve for x
    x = 112,003,695.22/9,619.29
  6. Step 6: Final answer
    x = 11,643.66

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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.