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Finding the Fourth Proportional to 9,808.44, 14,719.14 and 4,614.72

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Solution

The fourth proportional to 9,808.44, 14,719.14 and 4,614.72 is: 6,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.44 : 14,719.14 = 4,614.72 : x
  2. Step 2: Convert to fraction form
    9,808.44/14,719.14 = 4,614.72/x
  3. Step 3: Cross multiply
    9,808.44x = 14,719.14 × 4,614.72
  4. Step 4: Simplify right side
    9,808.44x = 67,924,709.74
  5. Step 5: Solve for x
    x = 67,924,709.74/9,808.44
  6. Step 6: Final answer
    x = 6,925.13

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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.