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Finding the Fourth Proportional to 9,956.52, 14,938.14 and 4,409.10

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Solution

The fourth proportional to 9,956.52, 14,938.14 and 4,409.10 is: 6,615.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.52 : 14,938.14 = 4,409.10 : x
  2. Step 2: Convert to fraction form
    9,956.52/14,938.14 = 4,409.10/x
  3. Step 3: Cross multiply
    9,956.52x = 14,938.14 × 4,409.10
  4. Step 4: Simplify right side
    9,956.52x = 65,863,753.07
  5. Step 5: Solve for x
    x = 65,863,753.07/9,956.52
  6. Step 6: Final answer
    x = 6,615.14

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Why These Related Problems?

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