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Finding the Fourth Proportional to 9,765.32, 14,689.56 and 8,851.91

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Solution

The fourth proportional to 9,765.32, 14,689.56 and 8,851.91 is: 13,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.32 : 14,689.56 = 8,851.91 : x
  2. Step 2: Convert to fraction form
    9,765.32/14,689.56 = 8,851.91/x
  3. Step 3: Cross multiply
    9,765.32x = 14,689.56 × 8,851.91
  4. Step 4: Simplify right side
    9,765.32x = 130,030,589.61
  5. Step 5: Solve for x
    x = 130,030,589.61/9,765.32
  6. Step 6: Final answer
    x = 13,315.56

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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.