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Finding the Fourth Proportional to 9,688.86, 14,538.87 and 5,475.45

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Solution

The fourth proportional to 9,688.86, 14,538.87 and 5,475.45 is: 8,216.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.86 : 14,538.87 = 5,475.45 : x
  2. Step 2: Convert to fraction form
    9,688.86/14,538.87 = 5,475.45/x
  3. Step 3: Cross multiply
    9,688.86x = 14,538.87 × 5,475.45
  4. Step 4: Simplify right side
    9,688.86x = 79,606,855.74
  5. Step 5: Solve for x
    x = 79,606,855.74/9,688.86
  6. Step 6: Final answer
    x = 8,216.33

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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.