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Finding the Fourth Proportional to 9,762.18, 14,645.70 and 3,925.32

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Solution

The fourth proportional to 9,762.18, 14,645.70 and 3,925.32 is: 5,888.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.18 : 14,645.70 = 3,925.32 : x
  2. Step 2: Convert to fraction form
    9,762.18/14,645.70 = 3,925.32/x
  3. Step 3: Cross multiply
    9,762.18x = 14,645.70 × 3,925.32
  4. Step 4: Simplify right side
    9,762.18x = 57,489,059.12
  5. Step 5: Solve for x
    x = 57,489,059.12/9,762.18
  6. Step 6: Final answer
    x = 5,888.96

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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.