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Finding the Fourth Proportional to 9,624.36, 14,437.36 and 2,698.86

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Solution

The fourth proportional to 9,624.36, 14,437.36 and 2,698.86 is: 4,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.36 : 14,437.36 = 2,698.86 : x
  2. Step 2: Convert to fraction form
    9,624.36/14,437.36 = 2,698.86/x
  3. Step 3: Cross multiply
    9,624.36x = 14,437.36 × 2,698.86
  4. Step 4: Simplify right side
    9,624.36x = 38,964,413.41
  5. Step 5: Solve for x
    x = 38,964,413.41/9,624.36
  6. Step 6: Final answer
    x = 4,048.52

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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.