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Finding the Fourth Proportional to 9,290.79, 13,913.06 and 6,504.39

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Solution

The fourth proportional to 9,290.79, 13,913.06 and 6,504.39 is: 9,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,290.79 : 13,913.06 = 6,504.39 : x
  2. Step 2: Convert to fraction form
    9,290.79/13,913.06 = 6,504.39/x
  3. Step 3: Cross multiply
    9,290.79x = 13,913.06 × 6,504.39
  4. Step 4: Simplify right side
    9,290.79x = 90,495,935.81
  5. Step 5: Solve for x
    x = 90,495,935.81/9,290.79
  6. Step 6: Final answer
    x = 9,740.39

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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.