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Finding the Fourth Proportional to 9,513.87, 13,141.69 and 7,303.06

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Solution

The fourth proportional to 9,513.87, 13,141.69 and 7,303.06 is: 10,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.87 : 13,141.69 = 7,303.06 : x
  2. Step 2: Convert to fraction form
    9,513.87/13,141.69 = 7,303.06/x
  3. Step 3: Cross multiply
    9,513.87x = 13,141.69 × 7,303.06
  4. Step 4: Simplify right side
    9,513.87x = 95,974,514.06
  5. Step 5: Solve for x
    x = 95,974,514.06/9,513.87
  6. Step 6: Final answer
    x = 10,087.86

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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.