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Finding the Fourth Proportional to 6,503.00, 9,699.71 and 5,450.81

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Solution

The fourth proportional to 6,503.00, 9,699.71 and 5,450.81 is: 8,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.00 : 9,699.71 = 5,450.81 : x
  2. Step 2: Convert to fraction form
    6,503.00/9,699.71 = 5,450.81/x
  3. Step 3: Cross multiply
    6,503.00x = 9,699.71 × 5,450.81
  4. Step 4: Simplify right side
    6,503.00x = 52,871,200.51
  5. Step 5: Solve for x
    x = 52,871,200.51/6,503.00
  6. Step 6: Final answer
    x = 8,130.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.