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Finding the Fourth Proportional to 9,539.76, 14,293.80 and 6,752.64

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Solution

The fourth proportional to 9,539.76, 14,293.80 and 6,752.64 is: 10,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.76 : 14,293.80 = 6,752.64 : x
  2. Step 2: Convert to fraction form
    9,539.76/14,293.80 = 6,752.64/x
  3. Step 3: Cross multiply
    9,539.76x = 14,293.80 × 6,752.64
  4. Step 4: Simplify right side
    9,539.76x = 96,520,885.63
  5. Step 5: Solve for x
    x = 96,520,885.63/9,539.76
  6. Step 6: Final answer
    x = 10,117.75

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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.