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Finding the Fourth Proportional to 9,802.02, 13,527.01 and 5,823.15

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Solution

The fourth proportional to 9,802.02, 13,527.01 and 5,823.15 is: 8,036.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.02 : 13,527.01 = 5,823.15 : x
  2. Step 2: Convert to fraction form
    9,802.02/13,527.01 = 5,823.15/x
  3. Step 3: Cross multiply
    9,802.02x = 13,527.01 × 5,823.15
  4. Step 4: Simplify right side
    9,802.02x = 78,769,808.28
  5. Step 5: Solve for x
    x = 78,769,808.28/9,802.02
  6. Step 6: Final answer
    x = 8,036.08

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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.