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Finding the Fourth Proportional to 9,289.58, 13,931.54 and 3,365.76

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Solution

The fourth proportional to 9,289.58, 13,931.54 and 3,365.76 is: 5,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.58 : 13,931.54 = 3,365.76 : x
  2. Step 2: Convert to fraction form
    9,289.58/13,931.54 = 3,365.76/x
  3. Step 3: Cross multiply
    9,289.58x = 13,931.54 × 3,365.76
  4. Step 4: Simplify right side
    9,289.58x = 46,890,220.07
  5. Step 5: Solve for x
    x = 46,890,220.07/9,289.58
  6. Step 6: Final answer
    x = 5,047.61

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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.