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Finding the Fourth Proportional to 9,567.80, 14,351.70 and 8,547.20

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Solution

The fourth proportional to 9,567.80, 14,351.70 and 8,547.20 is: 12,820.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,567.80 : 14,351.70 = 8,547.20 : x
  2. Step 2: Convert to fraction form
    9,567.80/14,351.70 = 8,547.20/x
  3. Step 3: Cross multiply
    9,567.80x = 14,351.70 × 8,547.20
  4. Step 4: Simplify right side
    9,567.80x = 122,666,850.24
  5. Step 5: Solve for x
    x = 122,666,850.24/9,567.80
  6. Step 6: Final answer
    x = 12,820.80

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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.