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Finding the Fourth Proportional to 9,756, 13,463.28 and 5,564.16

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Solution

The fourth proportional to 9,756, 13,463.28 and 5,564.16 is: 7,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756 : 13,463.28 = 5,564.16 : x
  2. Step 2: Convert to fraction form
    9,756/13,463.28 = 5,564.16/x
  3. Step 3: Cross multiply
    9,756x = 13,463.28 × 5,564.16
  4. Step 4: Simplify right side
    9,756x = 74,911,844.04
  5. Step 5: Solve for x
    x = 74,911,844.04/9,756
  6. Step 6: Final answer
    x = 7,678.54

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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.