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Finding the Fourth Proportional to 9,796.61, 13,519.10 and 5,320.32

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Solution

The fourth proportional to 9,796.61, 13,519.10 and 5,320.32 is: 7,341.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.61 : 13,519.10 = 5,320.32 : x
  2. Step 2: Convert to fraction form
    9,796.61/13,519.10 = 5,320.32/x
  3. Step 3: Cross multiply
    9,796.61x = 13,519.10 × 5,320.32
  4. Step 4: Simplify right side
    9,796.61x = 71,925,911.51
  5. Step 5: Solve for x
    x = 71,925,911.51/9,796.61
  6. Step 6: Final answer
    x = 7,341.92

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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.