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Finding the Fourth Proportional to 9,501.46, 13,111.95 and 5,309.71

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Solution

The fourth proportional to 9,501.46, 13,111.95 and 5,309.71 is: 7,327.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.46 : 13,111.95 = 5,309.71 : x
  2. Step 2: Convert to fraction form
    9,501.46/13,111.95 = 5,309.71/x
  3. Step 3: Cross multiply
    9,501.46x = 13,111.95 × 5,309.71
  4. Step 4: Simplify right side
    9,501.46x = 69,620,619.25
  5. Step 5: Solve for x
    x = 69,620,619.25/9,501.46
  6. Step 6: Final answer
    x = 7,327.36

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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.