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Finding the Fourth Proportional to 9,419.76, 12,999.72 and 5,441.40

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Solution

The fourth proportional to 9,419.76, 12,999.72 and 5,441.40 is: 7,509.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.76 : 12,999.72 = 5,441.40 : x
  2. Step 2: Convert to fraction form
    9,419.76/12,999.72 = 5,441.40/x
  3. Step 3: Cross multiply
    9,419.76x = 12,999.72 × 5,441.40
  4. Step 4: Simplify right side
    9,419.76x = 70,736,676.41
  5. Step 5: Solve for x
    x = 70,736,676.41/9,419.76
  6. Step 6: Final answer
    x = 7,509.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.