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Finding the Fourth Proportional to 9,572.66, 13,210.56 and 5,796.48

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Solution

The fourth proportional to 9,572.66, 13,210.56 and 5,796.48 is: 7,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.66 : 13,210.56 = 5,796.48 : x
  2. Step 2: Convert to fraction form
    9,572.66/13,210.56 = 5,796.48/x
  3. Step 3: Cross multiply
    9,572.66x = 13,210.56 × 5,796.48
  4. Step 4: Simplify right side
    9,572.66x = 76,574,717.85
  5. Step 5: Solve for x
    x = 76,574,717.85/9,572.66
  6. Step 6: Final answer
    x = 7,999.32

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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.