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Finding the Fourth Proportional to 9,688.56, 14,534.64 and 5,533.26

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Solution

The fourth proportional to 9,688.56, 14,534.64 and 5,533.26 is: 8,300.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.56 : 14,534.64 = 5,533.26 : x
  2. Step 2: Convert to fraction form
    9,688.56/14,534.64 = 5,533.26/x
  3. Step 3: Cross multiply
    9,688.56x = 14,534.64 × 5,533.26
  4. Step 4: Simplify right side
    9,688.56x = 80,423,942.13
  5. Step 5: Solve for x
    x = 80,423,942.13/9,688.56
  6. Step 6: Final answer
    x = 8,300.92

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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.