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Finding the Fourth Proportional to 9,540.40, 13,155.82 and 7,547.80

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Solution

The fourth proportional to 9,540.40, 13,155.82 and 7,547.80 is: 10,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.40 : 13,155.82 = 7,547.80 : x
  2. Step 2: Convert to fraction form
    9,540.40/13,155.82 = 7,547.80/x
  3. Step 3: Cross multiply
    9,540.40x = 13,155.82 × 7,547.80
  4. Step 4: Simplify right side
    9,540.40x = 99,297,498.20
  5. Step 5: Solve for x
    x = 99,297,498.20/9,540.40
  6. Step 6: Final answer
    x = 10,408.11

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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.