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Finding the Fourth Proportional to 7,190.40, 9,897.48 and 6,432.24

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Solution

The fourth proportional to 7,190.40, 9,897.48 and 6,432.24 is: 8,853.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,190.40 : 9,897.48 = 6,432.24 : x
  2. Step 2: Convert to fraction form
    7,190.40/9,897.48 = 6,432.24/x
  3. Step 3: Cross multiply
    7,190.40x = 9,897.48 × 6,432.24
  4. Step 4: Simplify right side
    7,190.40x = 63,662,966.76
  5. Step 5: Solve for x
    x = 63,662,966.76/7,190.40
  6. Step 6: Final answer
    x = 8,853.88

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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.