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Finding the Fourth Proportional to 9,407.66, 14,119.95 and 5,028.86

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Solution

The fourth proportional to 9,407.66, 14,119.95 and 5,028.86 is: 7,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,407.66 : 14,119.95 = 5,028.86 : x
  2. Step 2: Convert to fraction form
    9,407.66/14,119.95 = 5,028.86/x
  3. Step 3: Cross multiply
    9,407.66x = 14,119.95 × 5,028.86
  4. Step 4: Simplify right side
    9,407.66x = 71,007,251.76
  5. Step 5: Solve for x
    x = 71,007,251.76/9,407.66
  6. Step 6: Final answer
    x = 7,547.81

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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.