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Finding the Fourth Proportional to 10,312.21, 15,443.00 and 9,313.79

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Solution

The fourth proportional to 10,312.21, 15,443.00 and 9,313.79 is: 13,947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312.21 : 15,443.00 = 9,313.79 : x
  2. Step 2: Convert to fraction form
    10,312.21/15,443.00 = 9,313.79/x
  3. Step 3: Cross multiply
    10,312.21x = 15,443.00 × 9,313.79
  4. Step 4: Simplify right side
    10,312.21x = 143,832,822.50
  5. Step 5: Solve for x
    x = 143,832,822.50/10,312.21
  6. Step 6: Final answer
    x = 13,947.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.