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Finding the Fourth Proportional to 9,434.84, 14,148.14 and 4,751.88

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Solution

The fourth proportional to 9,434.84, 14,148.14 and 4,751.88 is: 7,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.84 : 14,148.14 = 4,751.88 : x
  2. Step 2: Convert to fraction form
    9,434.84/14,148.14 = 4,751.88/x
  3. Step 3: Cross multiply
    9,434.84x = 14,148.14 × 4,751.88
  4. Step 4: Simplify right side
    9,434.84x = 67,230,263.50
  5. Step 5: Solve for x
    x = 67,230,263.50/9,434.84
  6. Step 6: Final answer
    x = 7,125.74

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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.