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Finding the Fourth Proportional to 9,357.28, 12,913 and 5,165.52

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Solution

The fourth proportional to 9,357.28, 12,913 and 5,165.52 is: 7,128.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.28 : 12,913 = 5,165.52 : x
  2. Step 2: Convert to fraction form
    9,357.28/12,913 = 5,165.52/x
  3. Step 3: Cross multiply
    9,357.28x = 12,913 × 5,165.52
  4. Step 4: Simplify right side
    9,357.28x = 66,702,359.76
  5. Step 5: Solve for x
    x = 66,702,359.76/9,357.28
  6. Step 6: Final answer
    x = 7,128.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.