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Finding the Fourth Proportional to 10,284.80, 15,459.60 and 9,507.20

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Solution

The fourth proportional to 10,284.80, 15,459.60 and 9,507.20 is: 14,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.80 : 15,459.60 = 9,507.20 : x
  2. Step 2: Convert to fraction form
    10,284.80/15,459.60 = 9,507.20/x
  3. Step 3: Cross multiply
    10,284.80x = 15,459.60 × 9,507.20
  4. Step 4: Simplify right side
    10,284.80x = 146,977,509.12
  5. Step 5: Solve for x
    x = 146,977,509.12/10,284.80
  6. Step 6: Final answer
    x = 14,290.75

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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.