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Finding the Fourth Proportional to 9,572.54, 13,210.26 and 5,795.66

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Solution

The fourth proportional to 9,572.54, 13,210.26 and 5,795.66 is: 7,998.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,572.54 : 13,210.26 = 5,795.66 : x
  2. Step 2: Convert to fraction form
    9,572.54/13,210.26 = 5,795.66/x
  3. Step 3: Cross multiply
    9,572.54x = 13,210.26 × 5,795.66
  4. Step 4: Simplify right side
    9,572.54x = 76,562,175.47
  5. Step 5: Solve for x
    x = 76,562,175.47/9,572.54
  6. Step 6: Final answer
    x = 7,998.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.