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Finding the Fourth Proportional to 9,762.62, 13,475.82 and 6,225.14

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Solution

The fourth proportional to 9,762.62, 13,475.82 and 6,225.14 is: 8,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.62 : 13,475.82 = 6,225.14 : x
  2. Step 2: Convert to fraction form
    9,762.62/13,475.82 = 6,225.14/x
  3. Step 3: Cross multiply
    9,762.62x = 13,475.82 × 6,225.14
  4. Step 4: Simplify right side
    9,762.62x = 83,888,798.74
  5. Step 5: Solve for x
    x = 83,888,798.74/9,762.62
  6. Step 6: Final answer
    x = 8,592.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.