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Finding the Fourth Proportional to 9,559.42, 13,192.89 and 5,783.51

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Solution

The fourth proportional to 9,559.42, 13,192.89 and 5,783.51 is: 7,981.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.42 : 13,192.89 = 5,783.51 : x
  2. Step 2: Convert to fraction form
    9,559.42/13,192.89 = 5,783.51/x
  3. Step 3: Cross multiply
    9,559.42x = 13,192.89 × 5,783.51
  4. Step 4: Simplify right side
    9,559.42x = 76,301,276.67
  5. Step 5: Solve for x
    x = 76,301,276.67/9,559.42
  6. Step 6: Final answer
    x = 7,981.79

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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.