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Finding the Fourth Proportional to 9,382.96, 14,014.51 and 8,492.13

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Solution

The fourth proportional to 9,382.96, 14,014.51 and 8,492.13 is: 12,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.96 : 14,014.51 = 8,492.13 : x
  2. Step 2: Convert to fraction form
    9,382.96/14,014.51 = 8,492.13/x
  3. Step 3: Cross multiply
    9,382.96x = 14,014.51 × 8,492.13
  4. Step 4: Simplify right side
    9,382.96x = 119,013,040.81
  5. Step 5: Solve for x
    x = 119,013,040.81/9,382.96
  6. Step 6: Final answer
    x = 12,683.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.