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Finding the Fourth Proportional to 9,867.50, 14,803.07 and 6,357.36

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Solution

The fourth proportional to 9,867.50, 14,803.07 and 6,357.36 is: 9,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.50 : 14,803.07 = 6,357.36 : x
  2. Step 2: Convert to fraction form
    9,867.50/14,803.07 = 6,357.36/x
  3. Step 3: Cross multiply
    9,867.50x = 14,803.07 × 6,357.36
  4. Step 4: Simplify right side
    9,867.50x = 94,108,413.31
  5. Step 5: Solve for x
    x = 94,108,413.31/9,867.50
  6. Step 6: Final answer
    x = 9,537.21

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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.