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Finding the Fourth Proportional to 9,537.90, 14,307.39 and 2,965.02

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Solution

The fourth proportional to 9,537.90, 14,307.39 and 2,965.02 is: 4,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.90 : 14,307.39 = 2,965.02 : x
  2. Step 2: Convert to fraction form
    9,537.90/14,307.39 = 2,965.02/x
  3. Step 3: Cross multiply
    9,537.90x = 14,307.39 × 2,965.02
  4. Step 4: Simplify right side
    9,537.90x = 42,421,697.50
  5. Step 5: Solve for x
    x = 42,421,697.50/9,537.90
  6. Step 6: Final answer
    x = 4,447.70

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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.