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Finding the Fourth Proportional to 9,547.17, 13,175.05 and 5,298.12

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Solution

The fourth proportional to 9,547.17, 13,175.05 and 5,298.12 is: 7,311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.17 : 13,175.05 = 5,298.12 : x
  2. Step 2: Convert to fraction form
    9,547.17/13,175.05 = 5,298.12/x
  3. Step 3: Cross multiply
    9,547.17x = 13,175.05 × 5,298.12
  4. Step 4: Simplify right side
    9,547.17x = 69,802,995.91
  5. Step 5: Solve for x
    x = 69,802,995.91/9,547.17
  6. Step 6: Final answer
    x = 7,311.38

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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.