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Finding the Fourth Proportional to 9,773.06, 13,486.91 and 5,523.93

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Solution

The fourth proportional to 9,773.06, 13,486.91 and 5,523.93 is: 7,623.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.06 : 13,486.91 = 5,523.93 : x
  2. Step 2: Convert to fraction form
    9,773.06/13,486.91 = 5,523.93/x
  3. Step 3: Cross multiply
    9,773.06x = 13,486.91 × 5,523.93
  4. Step 4: Simplify right side
    9,773.06x = 74,500,719.14
  5. Step 5: Solve for x
    x = 74,500,719.14/9,773.06
  6. Step 6: Final answer
    x = 7,623.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.