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Finding the Fourth Proportional to 9,526.40, 14,293.64 and 3,980.84

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Solution

The fourth proportional to 9,526.40, 14,293.64 and 3,980.84 is: 5,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,526.40 : 14,293.64 = 3,980.84 : x
  2. Step 2: Convert to fraction form
    9,526.40/14,293.64 = 3,980.84/x
  3. Step 3: Cross multiply
    9,526.40x = 14,293.64 × 3,980.84
  4. Step 4: Simplify right side
    9,526.40x = 56,900,693.86
  5. Step 5: Solve for x
    x = 56,900,693.86/9,526.40
  6. Step 6: Final answer
    x = 5,972.95

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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.