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Finding the Fourth Proportional to 9,758.34, 14,637.51 and 2,362.77

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Solution

The fourth proportional to 9,758.34, 14,637.51 and 2,362.77 is: 3,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.34 : 14,637.51 = 2,362.77 : x
  2. Step 2: Convert to fraction form
    9,758.34/14,637.51 = 2,362.77/x
  3. Step 3: Cross multiply
    9,758.34x = 14,637.51 × 2,362.77
  4. Step 4: Simplify right side
    9,758.34x = 34,585,069.50
  5. Step 5: Solve for x
    x = 34,585,069.50/9,758.34
  6. Step 6: Final answer
    x = 3,544.16

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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.