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Finding the Fourth Proportional to 9,717.10, 14,575.65 and 7,384.30

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Solution

The fourth proportional to 9,717.10, 14,575.65 and 7,384.30 is: 11,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,717.10 : 14,575.65 = 7,384.30 : x
  2. Step 2: Convert to fraction form
    9,717.10/14,575.65 = 7,384.30/x
  3. Step 3: Cross multiply
    9,717.10x = 14,575.65 × 7,384.30
  4. Step 4: Simplify right side
    9,717.10x = 107,630,972.30
  5. Step 5: Solve for x
    x = 107,630,972.30/9,717.10
  6. Step 6: Final answer
    x = 11,076.45

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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.