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Finding the Fourth Proportional to 9,684.79, 14,528.89 and 5,003.50

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Solution

The fourth proportional to 9,684.79, 14,528.89 and 5,003.50 is: 7,506.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.79 : 14,528.89 = 5,003.50 : x
  2. Step 2: Convert to fraction form
    9,684.79/14,528.89 = 5,003.50/x
  3. Step 3: Cross multiply
    9,684.79x = 14,528.89 × 5,003.50
  4. Step 4: Simplify right side
    9,684.79x = 72,695,271.50
  5. Step 5: Solve for x
    x = 72,695,271.50/9,684.79
  6. Step 6: Final answer
    x = 7,506.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.