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Finding the Fourth Proportional to 9,762.18, 14,638.87 and 3,522.34

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Solution

The fourth proportional to 9,762.18, 14,638.87 and 3,522.34 is: 5,281.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.18 : 14,638.87 = 3,522.34 : x
  2. Step 2: Convert to fraction form
    9,762.18/14,638.87 = 3,522.34/x
  3. Step 3: Cross multiply
    9,762.18x = 14,638.87 × 3,522.34
  4. Step 4: Simplify right side
    9,762.18x = 51,563,077.36
  5. Step 5: Solve for x
    x = 51,563,077.36/9,762.18
  6. Step 6: Final answer
    x = 5,281.92

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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.