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Finding the Fourth Proportional to 9,713.15, 14,566.05 and 3,137.57

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Solution

The fourth proportional to 9,713.15, 14,566.05 and 3,137.57 is: 4,705.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.15 : 14,566.05 = 3,137.57 : x
  2. Step 2: Convert to fraction form
    9,713.15/14,566.05 = 3,137.57/x
  3. Step 3: Cross multiply
    9,713.15x = 14,566.05 × 3,137.57
  4. Step 4: Simplify right side
    9,713.15x = 45,702,001.50
  5. Step 5: Solve for x
    x = 45,702,001.50/9,713.15
  6. Step 6: Final answer
    x = 4,705.17

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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.