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Finding the Fourth Proportional to 6,526.15, 9,013.56 and 4,297.98

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Solution

The fourth proportional to 6,526.15, 9,013.56 and 4,297.98 is: 5,936.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.15 : 9,013.56 = 4,297.98 : x
  2. Step 2: Convert to fraction form
    6,526.15/9,013.56 = 4,297.98/x
  3. Step 3: Cross multiply
    6,526.15x = 9,013.56 × 4,297.98
  4. Step 4: Simplify right side
    6,526.15x = 38,740,079.12
  5. Step 5: Solve for x
    x = 38,740,079.12/6,526.15
  6. Step 6: Final answer
    x = 5,936.14

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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.