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Finding the Fourth Proportional to 10,807.64, 14,909.20 and 9,312.96

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Solution

The fourth proportional to 10,807.64, 14,909.20 and 9,312.96 is: 12,847.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,807.64 : 14,909.20 = 9,312.96 : x
  2. Step 2: Convert to fraction form
    10,807.64/14,909.20 = 9,312.96/x
  3. Step 3: Cross multiply
    10,807.64x = 14,909.20 × 9,312.96
  4. Step 4: Simplify right side
    10,807.64x = 138,848,783.23
  5. Step 5: Solve for x
    x = 138,848,783.23/10,807.64
  6. Step 6: Final answer
    x = 12,847.28

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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.