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Finding the Fourth Proportional to 9,509.86, 13,124.25 and 5,318.14

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Solution

The fourth proportional to 9,509.86, 13,124.25 and 5,318.14 is: 7,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.86 : 13,124.25 = 5,318.14 : x
  2. Step 2: Convert to fraction form
    9,509.86/13,124.25 = 5,318.14/x
  3. Step 3: Cross multiply
    9,509.86x = 13,124.25 × 5,318.14
  4. Step 4: Simplify right side
    9,509.86x = 69,796,598.90
  5. Step 5: Solve for x
    x = 69,796,598.90/9,509.86
  6. Step 6: Final answer
    x = 7,339.39

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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.