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Finding the Fourth Proportional to 9,129.40, 12,598.54 and 5,150.50

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Solution

The fourth proportional to 9,129.40, 12,598.54 and 5,150.50 is: 7,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.40 : 12,598.54 = 5,150.50 : x
  2. Step 2: Convert to fraction form
    9,129.40/12,598.54 = 5,150.50/x
  3. Step 3: Cross multiply
    9,129.40x = 12,598.54 × 5,150.50
  4. Step 4: Simplify right side
    9,129.40x = 64,888,780.27
  5. Step 5: Solve for x
    x = 64,888,780.27/9,129.40
  6. Step 6: Final answer
    x = 7,107.67

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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.