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Finding the Fourth Proportional to 9,856.93, 13,603.76 and 5,609.03

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Solution

The fourth proportional to 9,856.93, 13,603.76 and 5,609.03 is: 7,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.93 : 13,603.76 = 5,609.03 : x
  2. Step 2: Convert to fraction form
    9,856.93/13,603.76 = 5,609.03/x
  3. Step 3: Cross multiply
    9,856.93x = 13,603.76 × 5,609.03
  4. Step 4: Simplify right side
    9,856.93x = 76,303,930.99
  5. Step 5: Solve for x
    x = 76,303,930.99/9,856.93
  6. Step 6: Final answer
    x = 7,741.14

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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.