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Finding the Fourth Proportional to 9,281.80, 13,922.88 and 3,041.74

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Solution

The fourth proportional to 9,281.80, 13,922.88 and 3,041.74 is: 4,562.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.80 : 13,922.88 = 3,041.74 : x
  2. Step 2: Convert to fraction form
    9,281.80/13,922.88 = 3,041.74/x
  3. Step 3: Cross multiply
    9,281.80x = 13,922.88 × 3,041.74
  4. Step 4: Simplify right side
    9,281.80x = 42,349,781.01
  5. Step 5: Solve for x
    x = 42,349,781.01/9,281.80
  6. Step 6: Final answer
    x = 4,562.67

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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.