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Finding the Fourth Proportional to 9,756.72, 14,635.92 and 7,156.55

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Solution

The fourth proportional to 9,756.72, 14,635.92 and 7,156.55 is: 10,735.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.72 : 14,635.92 = 7,156.55 : x
  2. Step 2: Convert to fraction form
    9,756.72/14,635.92 = 7,156.55/x
  3. Step 3: Cross multiply
    9,756.72x = 14,635.92 × 7,156.55
  4. Step 4: Simplify right side
    9,756.72x = 104,742,693.28
  5. Step 5: Solve for x
    x = 104,742,693.28/9,756.72
  6. Step 6: Final answer
    x = 10,735.44

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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.