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Finding the Fourth Proportional to 10,474.47, 14,477.67 and 9,206.01

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Solution

The fourth proportional to 10,474.47, 14,477.67 and 9,206.01 is: 12,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474.47 : 14,477.67 = 9,206.01 : x
  2. Step 2: Convert to fraction form
    10,474.47/14,477.67 = 9,206.01/x
  3. Step 3: Cross multiply
    10,474.47x = 14,477.67 × 9,206.01
  4. Step 4: Simplify right side
    10,474.47x = 133,281,574.80
  5. Step 5: Solve for x
    x = 133,281,574.80/10,474.47
  6. Step 6: Final answer
    x = 12,724.42

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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.