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Finding the Fourth Proportional to 10,137.80, 15,206.70 and 9,117.20

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Solution

The fourth proportional to 10,137.80, 15,206.70 and 9,117.20 is: 13,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,137.80 : 15,206.70 = 9,117.20 : x
  2. Step 2: Convert to fraction form
    10,137.80/15,206.70 = 9,117.20/x
  3. Step 3: Cross multiply
    10,137.80x = 15,206.70 × 9,117.20
  4. Step 4: Simplify right side
    10,137.80x = 138,642,525.24
  5. Step 5: Solve for x
    x = 138,642,525.24/10,137.80
  6. Step 6: Final answer
    x = 13,675.80

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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.