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Finding the Fourth Proportional to 9,547.13, 13,175.08 and 5,355.38

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Solution

The fourth proportional to 9,547.13, 13,175.08 and 5,355.38 is: 7,390.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.13 : 13,175.08 = 5,355.38 : x
  2. Step 2: Convert to fraction form
    9,547.13/13,175.08 = 5,355.38/x
  3. Step 3: Cross multiply
    9,547.13x = 13,175.08 × 5,355.38
  4. Step 4: Simplify right side
    9,547.13x = 70,557,480.67
  5. Step 5: Solve for x
    x = 70,557,480.67/9,547.13
  6. Step 6: Final answer
    x = 7,390.44

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Why These Related Problems?

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