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Finding the Fourth Proportional to 9,885.38, 14,828.84 and 2,865.50

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Solution

The fourth proportional to 9,885.38, 14,828.84 and 2,865.50 is: 4,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.38 : 14,828.84 = 2,865.50 : x
  2. Step 2: Convert to fraction form
    9,885.38/14,828.84 = 2,865.50/x
  3. Step 3: Cross multiply
    9,885.38x = 14,828.84 × 2,865.50
  4. Step 4: Simplify right side
    9,885.38x = 42,492,041.02
  5. Step 5: Solve for x
    x = 42,492,041.02/9,885.38
  6. Step 6: Final answer
    x = 4,298.47

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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.