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Finding the Fourth Proportional to 9,588.35, 14,384.68 and 2,925.44

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Solution

The fourth proportional to 9,588.35, 14,384.68 and 2,925.44 is: 4,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.35 : 14,384.68 = 2,925.44 : x
  2. Step 2: Convert to fraction form
    9,588.35/14,384.68 = 2,925.44/x
  3. Step 3: Cross multiply
    9,588.35x = 14,384.68 × 2,925.44
  4. Step 4: Simplify right side
    9,588.35x = 42,081,446.34
  5. Step 5: Solve for x
    x = 42,081,446.34/9,588.35
  6. Step 6: Final answer
    x = 4,388.81

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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.