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Finding the Fourth Proportional to 9,731.09, 13,428.95 and 5,482.20

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Solution

The fourth proportional to 9,731.09, 13,428.95 and 5,482.20 is: 7,565.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.09 : 13,428.95 = 5,482.20 : x
  2. Step 2: Convert to fraction form
    9,731.09/13,428.95 = 5,482.20/x
  3. Step 3: Cross multiply
    9,731.09x = 13,428.95 × 5,482.20
  4. Step 4: Simplify right side
    9,731.09x = 73,620,179.07
  5. Step 5: Solve for x
    x = 73,620,179.07/9,731.09
  6. Step 6: Final answer
    x = 7,565.46

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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.