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Finding the Fourth Proportional to 9,788.31, 13,507.74 and 5,312.22

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Solution

The fourth proportional to 9,788.31, 13,507.74 and 5,312.22 is: 7,330.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.31 : 13,507.74 = 5,312.22 : x
  2. Step 2: Convert to fraction form
    9,788.31/13,507.74 = 5,312.22/x
  3. Step 3: Cross multiply
    9,788.31x = 13,507.74 × 5,312.22
  4. Step 4: Simplify right side
    9,788.31x = 71,756,077.97
  5. Step 5: Solve for x
    x = 71,756,077.97/9,788.31
  6. Step 6: Final answer
    x = 7,330.80

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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.