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Finding the Fourth Proportional to 9,329.36, 13,978.45 and 4,056.47

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Solution

The fourth proportional to 9,329.36, 13,978.45 and 4,056.47 is: 6,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.36 : 13,978.45 = 4,056.47 : x
  2. Step 2: Convert to fraction form
    9,329.36/13,978.45 = 4,056.47/x
  3. Step 3: Cross multiply
    9,329.36x = 13,978.45 × 4,056.47
  4. Step 4: Simplify right side
    9,329.36x = 56,703,119.60
  5. Step 5: Solve for x
    x = 56,703,119.60/9,329.36
  6. Step 6: Final answer
    x = 6,077.92

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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.