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Finding the Fourth Proportional to 9,547.63, 13,178.24 and 5,357.23

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Solution

The fourth proportional to 9,547.63, 13,178.24 and 5,357.23 is: 7,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.63 : 13,178.24 = 5,357.23 : x
  2. Step 2: Convert to fraction form
    9,547.63/13,178.24 = 5,357.23/x
  3. Step 3: Cross multiply
    9,547.63x = 13,178.24 × 5,357.23
  4. Step 4: Simplify right side
    9,547.63x = 70,598,862.68
  5. Step 5: Solve for x
    x = 70,598,862.68/9,547.63
  6. Step 6: Final answer
    x = 7,394.39

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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.