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Finding the Fourth Proportional to 10,441.16, 14,322.98 and 9,876.24

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Solution

The fourth proportional to 10,441.16, 14,322.98 and 9,876.24 is: 13,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.16 : 14,322.98 = 9,876.24 : x
  2. Step 2: Convert to fraction form
    10,441.16/14,322.98 = 9,876.24/x
  3. Step 3: Cross multiply
    10,441.16x = 14,322.98 × 9,876.24
  4. Step 4: Simplify right side
    10,441.16x = 141,457,188.00
  5. Step 5: Solve for x
    x = 141,457,188.00/10,441.16
  6. Step 6: Final answer
    x = 13,548.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.