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Finding the Fourth Proportional to 9,897.34, 14,848.17 and 2,877.43

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Solution

The fourth proportional to 9,897.34, 14,848.17 and 2,877.43 is: 4,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.34 : 14,848.17 = 2,877.43 : x
  2. Step 2: Convert to fraction form
    9,897.34/14,848.17 = 2,877.43/x
  3. Step 3: Cross multiply
    9,897.34x = 14,848.17 × 2,877.43
  4. Step 4: Simplify right side
    9,897.34x = 42,724,569.80
  5. Step 5: Solve for x
    x = 42,724,569.80/9,897.34
  6. Step 6: Final answer
    x = 4,316.77

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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.