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Finding the Fourth Proportional to 9,684.50, 14,528.40 and 4,140.50

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Solution

The fourth proportional to 9,684.50, 14,528.40 and 4,140.50 is: 6,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.50 : 14,528.40 = 4,140.50 : x
  2. Step 2: Convert to fraction form
    9,684.50/14,528.40 = 4,140.50/x
  3. Step 3: Cross multiply
    9,684.50x = 14,528.40 × 4,140.50
  4. Step 4: Simplify right side
    9,684.50x = 60,154,840.20
  5. Step 5: Solve for x
    x = 60,154,840.20/9,684.50
  6. Step 6: Final answer
    x = 6,211.46

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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.