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Finding the Fourth Proportional to 10,435.84, 15,572.84 and 9,328

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Solution

The fourth proportional to 10,435.84, 15,572.84 and 9,328 is: 13,919.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.84 : 15,572.84 = 9,328 : x
  2. Step 2: Convert to fraction form
    10,435.84/15,572.84 = 9,328/x
  3. Step 3: Cross multiply
    10,435.84x = 15,572.84 × 9,328
  4. Step 4: Simplify right side
    10,435.84x = 145,263,451.52
  5. Step 5: Solve for x
    x = 145,263,451.52/10,435.84
  6. Step 6: Final answer
    x = 13,919.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.