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Finding the Fourth Proportional to 9,271, 12,796.38 and 5,547.16

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Solution

The fourth proportional to 9,271, 12,796.38 and 5,547.16 is: 7,656.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271 : 12,796.38 = 5,547.16 : x
  2. Step 2: Convert to fraction form
    9,271/12,796.38 = 5,547.16/x
  3. Step 3: Cross multiply
    9,271x = 12,796.38 × 5,547.16
  4. Step 4: Simplify right side
    9,271x = 70,983,567.28
  5. Step 5: Solve for x
    x = 70,983,567.28/9,271
  6. Step 6: Final answer
    x = 7,656.52

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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.