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Finding the Fourth Proportional to 9,368.98, 14,054.01 and 3,525.64

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Solution

The fourth proportional to 9,368.98, 14,054.01 and 3,525.64 is: 5,288.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.98 : 14,054.01 = 3,525.64 : x
  2. Step 2: Convert to fraction form
    9,368.98/14,054.01 = 3,525.64/x
  3. Step 3: Cross multiply
    9,368.98x = 14,054.01 × 3,525.64
  4. Step 4: Simplify right side
    9,368.98x = 49,549,379.82
  5. Step 5: Solve for x
    x = 49,549,379.82/9,368.98
  6. Step 6: Final answer
    x = 5,288.66

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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.