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Finding the Fourth Proportional to 9,788.56, 13,507.98 and 5,312.12

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Solution

The fourth proportional to 9,788.56, 13,507.98 and 5,312.12 is: 7,330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.56 : 13,507.98 = 5,312.12 : x
  2. Step 2: Convert to fraction form
    9,788.56/13,507.98 = 5,312.12/x
  3. Step 3: Cross multiply
    9,788.56x = 13,507.98 × 5,312.12
  4. Step 4: Simplify right side
    9,788.56x = 71,756,010.72
  5. Step 5: Solve for x
    x = 71,756,010.72/9,788.56
  6. Step 6: Final answer
    x = 7,330.60

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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.