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Finding the Fourth Proportional to 9,914.01, 14,873.04 and 4,070.67

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Solution

The fourth proportional to 9,914.01, 14,873.04 and 4,070.67 is: 6,106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.01 : 14,873.04 = 4,070.67 : x
  2. Step 2: Convert to fraction form
    9,914.01/14,873.04 = 4,070.67/x
  3. Step 3: Cross multiply
    9,914.01x = 14,873.04 × 4,070.67
  4. Step 4: Simplify right side
    9,914.01x = 60,543,237.74
  5. Step 5: Solve for x
    x = 60,543,237.74/9,914.01
  6. Step 6: Final answer
    x = 6,106.84

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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.