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Finding the Fourth Proportional to 10,313.70, 15,536.27 and 9,417.03

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Solution

The fourth proportional to 10,313.70, 15,536.27 and 9,417.03 is: 14,185.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.70 : 15,536.27 = 9,417.03 : x
  2. Step 2: Convert to fraction form
    10,313.70/15,536.27 = 9,417.03/x
  3. Step 3: Cross multiply
    10,313.70x = 15,536.27 × 9,417.03
  4. Step 4: Simplify right side
    10,313.70x = 146,305,473.59
  5. Step 5: Solve for x
    x = 146,305,473.59/10,313.70
  6. Step 6: Final answer
    x = 14,185.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.