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Finding the Fourth Proportional to 9,811.32, 13,539.24 and 5,335.02

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Solution

The fourth proportional to 9,811.32, 13,539.24 and 5,335.02 is: 7,362.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.32 : 13,539.24 = 5,335.02 : x
  2. Step 2: Convert to fraction form
    9,811.32/13,539.24 = 5,335.02/x
  3. Step 3: Cross multiply
    9,811.32x = 13,539.24 × 5,335.02
  4. Step 4: Simplify right side
    9,811.32x = 72,232,116.18
  5. Step 5: Solve for x
    x = 72,232,116.18/9,811.32
  6. Step 6: Final answer
    x = 7,362.12

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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.