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Finding the Fourth Proportional to 9,557.12, 13,185.96 and 6,572

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Solution

The fourth proportional to 9,557.12, 13,185.96 and 6,572 is: 9,067.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,557.12 : 13,185.96 = 6,572 : x
  2. Step 2: Convert to fraction form
    9,557.12/13,185.96 = 6,572/x
  3. Step 3: Cross multiply
    9,557.12x = 13,185.96 × 6,572
  4. Step 4: Simplify right side
    9,557.12x = 86,658,129.12
  5. Step 5: Solve for x
    x = 86,658,129.12/9,557.12
  6. Step 6: Final answer
    x = 9,067.39

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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.