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Finding the Fourth Proportional to 9,569.46, 13,204.25 and 5,320.40

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Solution

The fourth proportional to 9,569.46, 13,204.25 and 5,320.40 is: 7,341.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.46 : 13,204.25 = 5,320.40 : x
  2. Step 2: Convert to fraction form
    9,569.46/13,204.25 = 5,320.40/x
  3. Step 3: Cross multiply
    9,569.46x = 13,204.25 × 5,320.40
  4. Step 4: Simplify right side
    9,569.46x = 70,251,825.68
  5. Step 5: Solve for x
    x = 70,251,825.68/9,569.46
  6. Step 6: Final answer
    x = 7,341.26

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