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Finding the Fourth Proportional to 9,762.60, 14,635.26 and 4,567.08

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Solution

The fourth proportional to 9,762.60, 14,635.26 and 4,567.08 is: 6,846.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.60 : 14,635.26 = 4,567.08 : x
  2. Step 2: Convert to fraction form
    9,762.60/14,635.26 = 4,567.08/x
  3. Step 3: Cross multiply
    9,762.60x = 14,635.26 × 4,567.08
  4. Step 4: Simplify right side
    9,762.60x = 66,840,403.24
  5. Step 5: Solve for x
    x = 66,840,403.24/9,762.60
  6. Step 6: Final answer
    x = 6,846.58

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