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Finding the Fourth Proportional to 9,183.48, 12,658.86 and 7,688.76

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Solution

The fourth proportional to 9,183.48, 12,658.86 and 7,688.76 is: 10,598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.48 : 12,658.86 = 7,688.76 : x
  2. Step 2: Convert to fraction form
    9,183.48/12,658.86 = 7,688.76/x
  3. Step 3: Cross multiply
    9,183.48x = 12,658.86 × 7,688.76
  4. Step 4: Simplify right side
    9,183.48x = 97,330,936.41
  5. Step 5: Solve for x
    x = 97,330,936.41/9,183.48
  6. Step 6: Final answer
    x = 10,598.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.