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Finding the Fourth Proportional to 9,731.16, 13,428.23 and 5,482.03

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Solution

The fourth proportional to 9,731.16, 13,428.23 and 5,482.03 is: 7,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.16 : 13,428.23 = 5,482.03 : x
  2. Step 2: Convert to fraction form
    9,731.16/13,428.23 = 5,482.03/x
  3. Step 3: Cross multiply
    9,731.16x = 13,428.23 × 5,482.03
  4. Step 4: Simplify right side
    9,731.16x = 73,613,959.71
  5. Step 5: Solve for x
    x = 73,613,959.71/9,731.16
  6. Step 6: Final answer
    x = 7,564.77

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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.