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Finding the Fourth Proportional to 9,523.84, 14,284.80 and 2,598.24

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Solution

The fourth proportional to 9,523.84, 14,284.80 and 2,598.24 is: 3,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.84 : 14,284.80 = 2,598.24 : x
  2. Step 2: Convert to fraction form
    9,523.84/14,284.80 = 2,598.24/x
  3. Step 3: Cross multiply
    9,523.84x = 14,284.80 × 2,598.24
  4. Step 4: Simplify right side
    9,523.84x = 37,115,338.75
  5. Step 5: Solve for x
    x = 37,115,338.75/9,523.84
  6. Step 6: Final answer
    x = 3,897.10

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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.