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Finding the Fourth Proportional to 9,384.99, 14,077.19 and 2,364.99

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Solution

The fourth proportional to 9,384.99, 14,077.19 and 2,364.99 is: 3,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.99 : 14,077.19 = 2,364.99 : x
  2. Step 2: Convert to fraction form
    9,384.99/14,077.19 = 2,364.99/x
  3. Step 3: Cross multiply
    9,384.99x = 14,077.19 × 2,364.99
  4. Step 4: Simplify right side
    9,384.99x = 33,292,413.58
  5. Step 5: Solve for x
    x = 33,292,413.58/9,384.99
  6. Step 6: Final answer
    x = 3,547.41

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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.