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Finding the Fourth Proportional to 9,002.83, 13,480.57 and 7,238.47

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Solution

The fourth proportional to 9,002.83, 13,480.57 and 7,238.47 is: 10,838.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.83 : 13,480.57 = 7,238.47 : x
  2. Step 2: Convert to fraction form
    9,002.83/13,480.57 = 7,238.47/x
  3. Step 3: Cross multiply
    9,002.83x = 13,480.57 × 7,238.47
  4. Step 4: Simplify right side
    9,002.83x = 97,578,701.53
  5. Step 5: Solve for x
    x = 97,578,701.53/9,002.83
  6. Step 6: Final answer
    x = 10,838.67

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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.