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Finding the Fourth Proportional to 9,802.16, 13,526.81 and 5,325.98

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Solution

The fourth proportional to 9,802.16, 13,526.81 and 5,325.98 is: 7,349.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.16 : 13,526.81 = 5,325.98 : x
  2. Step 2: Convert to fraction form
    9,802.16/13,526.81 = 5,325.98/x
  3. Step 3: Cross multiply
    9,802.16x = 13,526.81 × 5,325.98
  4. Step 4: Simplify right side
    9,802.16x = 72,043,425.26
  5. Step 5: Solve for x
    x = 72,043,425.26/9,802.16
  6. Step 6: Final answer
    x = 7,349.75

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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.