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Finding the Fourth Proportional to 9,803.14, 13,528.26 and 5,326.88

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Solution

The fourth proportional to 9,803.14, 13,528.26 and 5,326.88 is: 7,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.14 : 13,528.26 = 5,326.88 : x
  2. Step 2: Convert to fraction form
    9,803.14/13,528.26 = 5,326.88/x
  3. Step 3: Cross multiply
    9,803.14x = 13,528.26 × 5,326.88
  4. Step 4: Simplify right side
    9,803.14x = 72,063,417.63
  5. Step 5: Solve for x
    x = 72,063,417.63/9,803.14
  6. Step 6: Final answer
    x = 7,351.05

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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.