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Finding the Fourth Proportional to 6,328.96, 9,492.80 and 1,711.68

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Solution

The fourth proportional to 6,328.96, 9,492.80 and 1,711.68 is: 2,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.96 : 9,492.80 = 1,711.68 : x
  2. Step 2: Convert to fraction form
    6,328.96/9,492.80 = 1,711.68/x
  3. Step 3: Cross multiply
    6,328.96x = 9,492.80 × 1,711.68
  4. Step 4: Simplify right side
    6,328.96x = 16,248,635.90
  5. Step 5: Solve for x
    x = 16,248,635.90/6,328.96
  6. Step 6: Final answer
    x = 2,567.35

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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.