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Finding the Fourth Proportional to 6,154.32, 9,212.64 and 4,973.36

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Solution

The fourth proportional to 6,154.32, 9,212.64 and 4,973.36 is: 7,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.32 : 9,212.64 = 4,973.36 : x
  2. Step 2: Convert to fraction form
    6,154.32/9,212.64 = 4,973.36/x
  3. Step 3: Cross multiply
    6,154.32x = 9,212.64 × 4,973.36
  4. Step 4: Simplify right side
    6,154.32x = 45,817,775.27
  5. Step 5: Solve for x
    x = 45,817,775.27/6,154.32
  6. Step 6: Final answer
    x = 7,444.82

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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.