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Finding the Fourth Proportional to 9,802.09, 13,527.03 and 5,325.93

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Solution

The fourth proportional to 9,802.09, 13,527.03 and 5,325.93 is: 7,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.09 : 13,527.03 = 5,325.93 : x
  2. Step 2: Convert to fraction form
    9,802.09/13,527.03 = 5,325.93/x
  3. Step 3: Cross multiply
    9,802.09x = 13,527.03 × 5,325.93
  4. Step 4: Simplify right side
    9,802.09x = 72,044,014.89
  5. Step 5: Solve for x
    x = 72,044,014.89/9,802.09
  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.