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Finding the Fourth Proportional to 9,710.58, 14,568.84 and 4,091.16

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Solution

The fourth proportional to 9,710.58, 14,568.84 and 4,091.16 is: 6,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.58 : 14,568.84 = 4,091.16 : x
  2. Step 2: Convert to fraction form
    9,710.58/14,568.84 = 4,091.16/x
  3. Step 3: Cross multiply
    9,710.58x = 14,568.84 × 4,091.16
  4. Step 4: Simplify right side
    9,710.58x = 59,603,455.45
  5. Step 5: Solve for x
    x = 59,603,455.45/9,710.58
  6. Step 6: Final answer
    x = 6,137.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.