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Finding the Fourth Proportional to 9,271.17, 13,874.41 and 7,585.81

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Solution

The fourth proportional to 9,271.17, 13,874.41 and 7,585.81 is: 11,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.17 : 13,874.41 = 7,585.81 : x
  2. Step 2: Convert to fraction form
    9,271.17/13,874.41 = 7,585.81/x
  3. Step 3: Cross multiply
    9,271.17x = 13,874.41 × 7,585.81
  4. Step 4: Simplify right side
    9,271.17x = 105,248,638.12
  5. Step 5: Solve for x
    x = 105,248,638.12/9,271.17
  6. Step 6: Final answer
    x = 11,352.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.