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Finding the Fourth Proportional to 9,437.41, 13,023.74 and 5,404.07

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Solution

The fourth proportional to 9,437.41, 13,023.74 and 5,404.07 is: 7,457.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.41 : 13,023.74 = 5,404.07 : x
  2. Step 2: Convert to fraction form
    9,437.41/13,023.74 = 5,404.07/x
  3. Step 3: Cross multiply
    9,437.41x = 13,023.74 × 5,404.07
  4. Step 4: Simplify right side
    9,437.41x = 70,381,145.03
  5. Step 5: Solve for x
    x = 70,381,145.03/9,437.41
  6. Step 6: Final answer
    x = 7,457.67

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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.