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Finding the Fourth Proportional to 9,897.40, 14,841.30 and 5,510.20

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Solution

The fourth proportional to 9,897.40, 14,841.30 and 5,510.20 is: 8,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.40 : 14,841.30 = 5,510.20 : x
  2. Step 2: Convert to fraction form
    9,897.40/14,841.30 = 5,510.20/x
  3. Step 3: Cross multiply
    9,897.40x = 14,841.30 × 5,510.20
  4. Step 4: Simplify right side
    9,897.40x = 81,778,531.26
  5. Step 5: Solve for x
    x = 81,778,531.26/9,897.40
  6. Step 6: Final answer
    x = 8,262.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.