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Finding the Fourth Proportional to 9,528.48, 14,267.88 and 7,669.44

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Solution

The fourth proportional to 9,528.48, 14,267.88 and 7,669.44 is: 11,484.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.48 : 14,267.88 = 7,669.44 : x
  2. Step 2: Convert to fraction form
    9,528.48/14,267.88 = 7,669.44/x
  3. Step 3: Cross multiply
    9,528.48x = 14,267.88 × 7,669.44
  4. Step 4: Simplify right side
    9,528.48x = 109,426,649.59
  5. Step 5: Solve for x
    x = 109,426,649.59/9,528.48
  6. Step 6: Final answer
    x = 11,484.17

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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.