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Finding the Fourth Proportional to 9,785.57, 14,650.38 and 6,492.11

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Solution

The fourth proportional to 9,785.57, 14,650.38 and 6,492.11 is: 9,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.57 : 14,650.38 = 6,492.11 : x
  2. Step 2: Convert to fraction form
    9,785.57/14,650.38 = 6,492.11/x
  3. Step 3: Cross multiply
    9,785.57x = 14,650.38 × 6,492.11
  4. Step 4: Simplify right side
    9,785.57x = 95,111,805.25
  5. Step 5: Solve for x
    x = 95,111,805.25/9,785.57
  6. Step 6: Final answer
    x = 9,719.60

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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.