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Finding the Fourth Proportional to 9,802.63, 13,527.88 and 5,326.64

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Solution

The fourth proportional to 9,802.63, 13,527.88 and 5,326.64 is: 7,350.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.63 : 13,527.88 = 5,326.64 : x
  2. Step 2: Convert to fraction form
    9,802.63/13,527.88 = 5,326.64/x
  3. Step 3: Cross multiply
    9,802.63x = 13,527.88 × 5,326.64
  4. Step 4: Simplify right side
    9,802.63x = 72,058,146.72
  5. Step 5: Solve for x
    x = 72,058,146.72/9,802.63
  6. Step 6: Final answer
    x = 7,350.90

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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.