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Finding the Fourth Proportional to 6,160.34, 9,237.56 and 4,312.33

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Solution

The fourth proportional to 6,160.34, 9,237.56 and 4,312.33 is: 6,466.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,160.34 : 9,237.56 = 4,312.33 : x
  2. Step 2: Convert to fraction form
    6,160.34/9,237.56 = 4,312.33/x
  3. Step 3: Cross multiply
    6,160.34x = 9,237.56 × 4,312.33
  4. Step 4: Simplify right side
    6,160.34x = 39,835,362.46
  5. Step 5: Solve for x
    x = 39,835,362.46/6,160.34
  6. Step 6: Final answer
    x = 6,466.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.