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Finding the Fourth Proportional to 9,590.03, 14,384.01 and 2,570.74

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Solution

The fourth proportional to 9,590.03, 14,384.01 and 2,570.74 is: 3,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,590.03 : 14,384.01 = 2,570.74 : x
  2. Step 2: Convert to fraction form
    9,590.03/14,384.01 = 2,570.74/x
  3. Step 3: Cross multiply
    9,590.03x = 14,384.01 × 2,570.74
  4. Step 4: Simplify right side
    9,590.03x = 36,977,549.87
  5. Step 5: Solve for x
    x = 36,977,549.87/9,590.03
  6. Step 6: Final answer
    x = 3,855.83

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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.