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Finding the Fourth Proportional to 9,547.65, 13,174.85 and 5,514.17

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Solution

The fourth proportional to 9,547.65, 13,174.85 and 5,514.17 is: 7,609.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.65 : 13,174.85 = 5,514.17 : x
  2. Step 2: Convert to fraction form
    9,547.65/13,174.85 = 5,514.17/x
  3. Step 3: Cross multiply
    9,547.65x = 13,174.85 × 5,514.17
  4. Step 4: Simplify right side
    9,547.65x = 72,648,335.05
  5. Step 5: Solve for x
    x = 72,648,335.05/9,547.65
  6. Step 6: Final answer
    x = 7,609.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.