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Finding the Fourth Proportional to 9,312.23, 13,970.97 and 3,764.30

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Solution

The fourth proportional to 9,312.23, 13,970.97 and 3,764.30 is: 5,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.23 : 13,970.97 = 3,764.30 : x
  2. Step 2: Convert to fraction form
    9,312.23/13,970.97 = 3,764.30/x
  3. Step 3: Cross multiply
    9,312.23x = 13,970.97 × 3,764.30
  4. Step 4: Simplify right side
    9,312.23x = 52,590,852.52
  5. Step 5: Solve for x
    x = 52,590,852.52/9,312.23
  6. Step 6: Final answer
    x = 5,647.50

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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.