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Finding the Fourth Proportional to 10,270.04, 15,324.41 and 9,643.08

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Solution

The fourth proportional to 10,270.04, 15,324.41 and 9,643.08 is: 14,388.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.04 : 15,324.41 = 9,643.08 : x
  2. Step 2: Convert to fraction form
    10,270.04/15,324.41 = 9,643.08/x
  3. Step 3: Cross multiply
    10,270.04x = 15,324.41 × 9,643.08
  4. Step 4: Simplify right side
    10,270.04x = 147,774,511.58
  5. Step 5: Solve for x
    x = 147,774,511.58/10,270.04
  6. Step 6: Final answer
    x = 14,388.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.