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Finding the Fourth Proportional to 9,494.50, 13,102.68 and 5,303.02

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Solution

The fourth proportional to 9,494.50, 13,102.68 and 5,303.02 is: 7,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.50 : 13,102.68 = 5,303.02 : x
  2. Step 2: Convert to fraction form
    9,494.50/13,102.68 = 5,303.02/x
  3. Step 3: Cross multiply
    9,494.50x = 13,102.68 × 5,303.02
  4. Step 4: Simplify right side
    9,494.50x = 69,483,774.09
  5. Step 5: Solve for x
    x = 69,483,774.09/9,494.50
  6. Step 6: Final answer
    x = 7,318.32

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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.