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Finding the Fourth Proportional to 9,540.30, 14,310.30 and 3,698.04

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Solution

The fourth proportional to 9,540.30, 14,310.30 and 3,698.04 is: 5,547.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.30 : 14,310.30 = 3,698.04 : x
  2. Step 2: Convert to fraction form
    9,540.30/14,310.30 = 3,698.04/x
  3. Step 3: Cross multiply
    9,540.30x = 14,310.30 × 3,698.04
  4. Step 4: Simplify right side
    9,540.30x = 52,920,061.81
  5. Step 5: Solve for x
    x = 52,920,061.81/9,540.30
  6. Step 6: Final answer
    x = 5,547.00

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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.