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Finding the Fourth Proportional to 9,494.14, 13,102.12 and 5,302.40

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Solution

The fourth proportional to 9,494.14, 13,102.12 and 5,302.40 is: 7,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.14 : 13,102.12 = 5,302.40 : x
  2. Step 2: Convert to fraction form
    9,494.14/13,102.12 = 5,302.40/x
  3. Step 3: Cross multiply
    9,494.14x = 13,102.12 × 5,302.40
  4. Step 4: Simplify right side
    9,494.14x = 69,472,681.09
  5. Step 5: Solve for x
    x = 69,472,681.09/9,494.14
  6. Step 6: Final answer
    x = 7,317.43

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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.