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Finding the Fourth Proportional to 9,566.45, 13,203.84 and 5,319

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Solution

The fourth proportional to 9,566.45, 13,203.84 and 5,319 is: 7,341.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.45 : 13,203.84 = 5,319 : x
  2. Step 2: Convert to fraction form
    9,566.45/13,203.84 = 5,319/x
  3. Step 3: Cross multiply
    9,566.45x = 13,203.84 × 5,319
  4. Step 4: Simplify right side
    9,566.45x = 70,231,224.96
  5. Step 5: Solve for x
    x = 70,231,224.96/9,566.45
  6. Step 6: Final answer
    x = 7,341.41

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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.