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Finding the Fourth Proportional to 9,652.52, 13,320.70 and 5,461

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Solution

The fourth proportional to 9,652.52, 13,320.70 and 5,461 is: 7,536.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.52 : 13,320.70 = 5,461 : x
  2. Step 2: Convert to fraction form
    9,652.52/13,320.70 = 5,461/x
  3. Step 3: Cross multiply
    9,652.52x = 13,320.70 × 5,461
  4. Step 4: Simplify right side
    9,652.52x = 72,744,342.70
  5. Step 5: Solve for x
    x = 72,744,342.70/9,652.52
  6. Step 6: Final answer
    x = 7,536.31

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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.