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Finding the Fourth Proportional to 9,203.54, 13,802.50 and 3,358.76

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Solution

The fourth proportional to 9,203.54, 13,802.50 and 3,358.76 is: 5,037.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.54 : 13,802.50 = 3,358.76 : x
  2. Step 2: Convert to fraction form
    9,203.54/13,802.50 = 3,358.76/x
  3. Step 3: Cross multiply
    9,203.54x = 13,802.50 × 3,358.76
  4. Step 4: Simplify right side
    9,203.54x = 46,359,284.90
  5. Step 5: Solve for x
    x = 46,359,284.90/9,203.54
  6. Step 6: Final answer
    x = 5,037.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.