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Finding the Fourth Proportional to 9,802.18, 13,527.12 and 5,325.94

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Solution

The fourth proportional to 9,802.18, 13,527.12 and 5,325.94 is: 7,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.18 : 13,527.12 = 5,325.94 : x
  2. Step 2: Convert to fraction form
    9,802.18/13,527.12 = 5,325.94/x
  3. Step 3: Cross multiply
    9,802.18x = 13,527.12 × 5,325.94
  4. Step 4: Simplify right side
    9,802.18x = 72,044,629.49
  5. Step 5: Solve for x
    x = 72,044,629.49/9,802.18
  6. Step 6: Final answer
    x = 7,349.86

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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.