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Finding the Fourth Proportional to 9,821.52, 13,549.41 and 6,460.02

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Solution

The fourth proportional to 9,821.52, 13,549.41 and 6,460.02 is: 8,912.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,821.52 : 13,549.41 = 6,460.02 : x
  2. Step 2: Convert to fraction form
    9,821.52/13,549.41 = 6,460.02/x
  3. Step 3: Cross multiply
    9,821.52x = 13,549.41 × 6,460.02
  4. Step 4: Simplify right side
    9,821.52x = 87,529,459.59
  5. Step 5: Solve for x
    x = 87,529,459.59/9,821.52
  6. Step 6: Final answer
    x = 8,912.01

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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.