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Finding the Fourth Proportional to 9,602.29, 13,246.59 and 5,620.96

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Solution

The fourth proportional to 9,602.29, 13,246.59 and 5,620.96 is: 7,754.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.29 : 13,246.59 = 5,620.96 : x
  2. Step 2: Convert to fraction form
    9,602.29/13,246.59 = 5,620.96/x
  3. Step 3: Cross multiply
    9,602.29x = 13,246.59 × 5,620.96
  4. Step 4: Simplify right side
    9,602.29x = 74,458,552.53
  5. Step 5: Solve for x
    x = 74,458,552.53/9,602.29
  6. Step 6: Final answer
    x = 7,754.25

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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.