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Finding the Fourth Proportional to 9,795.76, 13,518.07 and 5,319.43

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Solution

The fourth proportional to 9,795.76, 13,518.07 and 5,319.43 is: 7,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.76 : 13,518.07 = 5,319.43 : x
  2. Step 2: Convert to fraction form
    9,795.76/13,518.07 = 5,319.43/x
  3. Step 3: Cross multiply
    9,795.76x = 13,518.07 × 5,319.43
  4. Step 4: Simplify right side
    9,795.76x = 71,908,427.10
  5. Step 5: Solve for x
    x = 71,908,427.10/9,795.76
  6. Step 6: Final answer
    x = 7,340.77

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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.