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Finding the Fourth Proportional to 9,641, 13,304.58 and 5,225

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Solution

The fourth proportional to 9,641, 13,304.58 and 5,225 is: 7,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641 : 13,304.58 = 5,225 : x
  2. Step 2: Convert to fraction form
    9,641/13,304.58 = 5,225/x
  3. Step 3: Cross multiply
    9,641x = 13,304.58 × 5,225
  4. Step 4: Simplify right side
    9,641x = 69,516,430.50
  5. Step 5: Solve for x
    x = 69,516,430.50/9,641
  6. Step 6: Final answer
    x = 7,210.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.