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Finding the Fourth Proportional to 9,898.08, 14,848.16 and 3,742.08

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Solution

The fourth proportional to 9,898.08, 14,848.16 and 3,742.08 is: 5,613.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.08 : 14,848.16 = 3,742.08 : x
  2. Step 2: Convert to fraction form
    9,898.08/14,848.16 = 3,742.08/x
  3. Step 3: Cross multiply
    9,898.08x = 14,848.16 × 3,742.08
  4. Step 4: Simplify right side
    9,898.08x = 55,563,002.57
  5. Step 5: Solve for x
    x = 55,563,002.57/9,898.08
  6. Step 6: Final answer
    x = 5,613.51

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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.