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Finding the Fourth Proportional to 9,770.46, 14,643.36 and 5,328.06

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Solution

The fourth proportional to 9,770.46, 14,643.36 and 5,328.06 is: 7,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.46 : 14,643.36 = 5,328.06 : x
  2. Step 2: Convert to fraction form
    9,770.46/14,643.36 = 5,328.06/x
  3. Step 3: Cross multiply
    9,770.46x = 14,643.36 × 5,328.06
  4. Step 4: Simplify right side
    9,770.46x = 78,020,700.68
  5. Step 5: Solve for x
    x = 78,020,700.68/9,770.46
  6. Step 6: Final answer
    x = 7,985.37

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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.