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Finding the Fourth Proportional to 10,208.80, 15,291.60 and 9,114.40

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Solution

The fourth proportional to 10,208.80, 15,291.60 and 9,114.40 is: 13,652.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.80 : 15,291.60 = 9,114.40 : x
  2. Step 2: Convert to fraction form
    10,208.80/15,291.60 = 9,114.40/x
  3. Step 3: Cross multiply
    10,208.80x = 15,291.60 × 9,114.40
  4. Step 4: Simplify right side
    10,208.80x = 139,373,759.04
  5. Step 5: Solve for x
    x = 139,373,759.04/10,208.80
  6. Step 6: Final answer
    x = 13,652.32

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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.