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Finding the Fourth Proportional to 9,797.31, 13,516.47 and 5,547.39

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Solution

The fourth proportional to 9,797.31, 13,516.47 and 5,547.39 is: 7,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.31 : 13,516.47 = 5,547.39 : x
  2. Step 2: Convert to fraction form
    9,797.31/13,516.47 = 5,547.39/x
  3. Step 3: Cross multiply
    9,797.31x = 13,516.47 × 5,547.39
  4. Step 4: Simplify right side
    9,797.31x = 74,981,130.51
  5. Step 5: Solve for x
    x = 74,981,130.51/9,797.31
  6. Step 6: Final answer
    x = 7,653.24

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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.