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Finding the Fourth Proportional to 9,897.96, 14,842.58 and 5,740.84

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Solution

The fourth proportional to 9,897.96, 14,842.58 and 5,740.84 is: 8,608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.96 : 14,842.58 = 5,740.84 : x
  2. Step 2: Convert to fraction form
    9,897.96/14,842.58 = 5,740.84/x
  3. Step 3: Cross multiply
    9,897.96x = 14,842.58 × 5,740.84
  4. Step 4: Simplify right side
    9,897.96x = 85,208,802.75
  5. Step 5: Solve for x
    x = 85,208,802.75/9,897.96
  6. Step 6: Final answer
    x = 8,608.72

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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.