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Finding the Fourth Proportional to 9,762.50, 14,629.72 and 5,549.10

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Solution

The fourth proportional to 9,762.50, 14,629.72 and 5,549.10 is: 8,315.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.50 : 14,629.72 = 5,549.10 : x
  2. Step 2: Convert to fraction form
    9,762.50/14,629.72 = 5,549.10/x
  3. Step 3: Cross multiply
    9,762.50x = 14,629.72 × 5,549.10
  4. Step 4: Simplify right side
    9,762.50x = 81,181,710.52
  5. Step 5: Solve for x
    x = 81,181,710.52/9,762.50
  6. Step 6: Final answer
    x = 8,315.67

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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.