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Finding the Fourth Proportional to 9,493.96, 13,101.70 and 5,302.28

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Solution

The fourth proportional to 9,493.96, 13,101.70 and 5,302.28 is: 7,317.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.96 : 13,101.70 = 5,302.28 : x
  2. Step 2: Convert to fraction form
    9,493.96/13,101.70 = 5,302.28/x
  3. Step 3: Cross multiply
    9,493.96x = 13,101.70 × 5,302.28
  4. Step 4: Simplify right side
    9,493.96x = 69,468,881.88
  5. Step 5: Solve for x
    x = 69,468,881.88/9,493.96
  6. Step 6: Final answer
    x = 7,317.17

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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.