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Finding the Fourth Proportional to 9,700.03, 14,537.87 and 4,146.85

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Solution

The fourth proportional to 9,700.03, 14,537.87 and 4,146.85 is: 6,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.03 : 14,537.87 = 4,146.85 : x
  2. Step 2: Convert to fraction form
    9,700.03/14,537.87 = 4,146.85/x
  3. Step 3: Cross multiply
    9,700.03x = 14,537.87 × 4,146.85
  4. Step 4: Simplify right side
    9,700.03x = 60,286,314.31
  5. Step 5: Solve for x
    x = 60,286,314.31/9,700.03
  6. Step 6: Final answer
    x = 6,215.07

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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.