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Finding the Fourth Proportional to 6,588.14, 9,840.13 and 5,962.48

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Solution

The fourth proportional to 6,588.14, 9,840.13 and 5,962.48 is: 8,905.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.14 : 9,840.13 = 5,962.48 : x
  2. Step 2: Convert to fraction form
    6,588.14/9,840.13 = 5,962.48/x
  3. Step 3: Cross multiply
    6,588.14x = 9,840.13 × 5,962.48
  4. Step 4: Simplify right side
    6,588.14x = 58,671,578.32
  5. Step 5: Solve for x
    x = 58,671,578.32/6,588.14
  6. Step 6: Final answer
    x = 8,905.64

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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.