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Finding the Fourth Proportional to 9,379.13, 14,070.59 and 4,185

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Solution

The fourth proportional to 9,379.13, 14,070.59 and 4,185 is: 6,278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.13 : 14,070.59 = 4,185 : x
  2. Step 2: Convert to fraction form
    9,379.13/14,070.59 = 4,185/x
  3. Step 3: Cross multiply
    9,379.13x = 14,070.59 × 4,185
  4. Step 4: Simplify right side
    9,379.13x = 58,885,398.23
  5. Step 5: Solve for x
    x = 58,885,398.23/9,379.13
  6. Step 6: Final answer
    x = 6,278.35

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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.