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Finding the Fourth Proportional to 10,340.92, 14,264.07 and 9,017.80

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Solution

The fourth proportional to 10,340.92, 14,264.07 and 9,017.80 is: 12,438.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,340.92 : 14,264.07 = 9,017.80 : x
  2. Step 2: Convert to fraction form
    10,340.92/14,264.07 = 9,017.80/x
  3. Step 3: Cross multiply
    10,340.92x = 14,264.07 × 9,017.80
  4. Step 4: Simplify right side
    10,340.92x = 128,630,530.45
  5. Step 5: Solve for x
    x = 128,630,530.45/10,340.92
  6. Step 6: Final answer
    x = 12,438.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.