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Finding the Fourth Proportional to 9,384.30, 14,068.35 and 4,767.30

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Solution

The fourth proportional to 9,384.30, 14,068.35 and 4,767.30 is: 7,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.30 : 14,068.35 = 4,767.30 : x
  2. Step 2: Convert to fraction form
    9,384.30/14,068.35 = 4,767.30/x
  3. Step 3: Cross multiply
    9,384.30x = 14,068.35 × 4,767.30
  4. Step 4: Simplify right side
    9,384.30x = 67,068,044.96
  5. Step 5: Solve for x
    x = 67,068,044.96/9,384.30
  6. Step 6: Final answer
    x = 7,146.84

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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.