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Finding the Fourth Proportional to 9,734.61, 13,419.77 and 6,935.25

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Solution

The fourth proportional to 9,734.61, 13,419.77 and 6,935.25 is: 9,560.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.61 : 13,419.77 = 6,935.25 : x
  2. Step 2: Convert to fraction form
    9,734.61/13,419.77 = 6,935.25/x
  3. Step 3: Cross multiply
    9,734.61x = 13,419.77 × 6,935.25
  4. Step 4: Simplify right side
    9,734.61x = 93,069,425.22
  5. Step 5: Solve for x
    x = 93,069,425.22/9,734.61
  6. Step 6: Final answer
    x = 9,560.67

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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.