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Finding the Fourth Proportional to 9,802.30, 13,527.14 and 5,326.02

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Solution

The fourth proportional to 9,802.30, 13,527.14 and 5,326.02 is: 7,349.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.30 : 13,527.14 = 5,326.02 : x
  2. Step 2: Convert to fraction form
    9,802.30/13,527.14 = 5,326.02/x
  3. Step 3: Cross multiply
    9,802.30x = 13,527.14 × 5,326.02
  4. Step 4: Simplify right side
    9,802.30x = 72,045,818.18
  5. Step 5: Solve for x
    x = 72,045,818.18/9,802.30
  6. Step 6: Final answer
    x = 7,349.89

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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.