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Finding the Fourth Proportional to 9,411.44, 14,119.54 and 6,643.52

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Solution

The fourth proportional to 9,411.44, 14,119.54 and 6,643.52 is: 9,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.44 : 14,119.54 = 6,643.52 : x
  2. Step 2: Convert to fraction form
    9,411.44/14,119.54 = 6,643.52/x
  3. Step 3: Cross multiply
    9,411.44x = 14,119.54 × 6,643.52
  4. Step 4: Simplify right side
    9,411.44x = 93,803,446.38
  5. Step 5: Solve for x
    x = 93,803,446.38/9,411.44
  6. Step 6: Final answer
    x = 9,966.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.