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Finding the Fourth Proportional to 9,295.04, 12,833.16 and 5,762

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Solution

The fourth proportional to 9,295.04, 12,833.16 and 5,762 is: 7,955.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.04 : 12,833.16 = 5,762 : x
  2. Step 2: Convert to fraction form
    9,295.04/12,833.16 = 5,762/x
  3. Step 3: Cross multiply
    9,295.04x = 12,833.16 × 5,762
  4. Step 4: Simplify right side
    9,295.04x = 73,944,667.92
  5. Step 5: Solve for x
    x = 73,944,667.92/9,295.04
  6. Step 6: Final answer
    x = 7,955.28

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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.