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Finding the Fourth Proportional to 9,123.95, 13,683.49 and 4,678.67

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Solution

The fourth proportional to 9,123.95, 13,683.49 and 4,678.67 is: 7,016.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.95 : 13,683.49 = 4,678.67 : x
  2. Step 2: Convert to fraction form
    9,123.95/13,683.49 = 4,678.67/x
  3. Step 3: Cross multiply
    9,123.95x = 13,683.49 × 4,678.67
  4. Step 4: Simplify right side
    9,123.95x = 64,020,534.16
  5. Step 5: Solve for x
    x = 64,020,534.16/9,123.95
  6. Step 6: Final answer
    x = 7,016.76

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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.