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Finding the Fourth Proportional to 9,059.44, 12,486 and 7,797.28

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Solution

The fourth proportional to 9,059.44, 12,486 and 7,797.28 is: 10,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.44 : 12,486 = 7,797.28 : x
  2. Step 2: Convert to fraction form
    9,059.44/12,486 = 7,797.28/x
  3. Step 3: Cross multiply
    9,059.44x = 12,486 × 7,797.28
  4. Step 4: Simplify right side
    9,059.44x = 97,356,838.08
  5. Step 5: Solve for x
    x = 97,356,838.08/9,059.44
  6. Step 6: Final answer
    x = 10,746.45

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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.