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Finding the Fourth Proportional to 9,547.20, 14,319.54 and 3,700.80

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Solution

The fourth proportional to 9,547.20, 14,319.54 and 3,700.80 is: 5,550.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.20 : 14,319.54 = 3,700.80 : x
  2. Step 2: Convert to fraction form
    9,547.20/14,319.54 = 3,700.80/x
  3. Step 3: Cross multiply
    9,547.20x = 14,319.54 × 3,700.80
  4. Step 4: Simplify right side
    9,547.20x = 52,993,753.63
  5. Step 5: Solve for x
    x = 52,993,753.63/9,547.20
  6. Step 6: Final answer
    x = 5,550.71

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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.