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Finding the Fourth Proportional to 9,597.60, 14,397.94 and 4,051.76

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Solution

The fourth proportional to 9,597.60, 14,397.94 and 4,051.76 is: 6,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.60 : 14,397.94 = 4,051.76 : x
  2. Step 2: Convert to fraction form
    9,597.60/14,397.94 = 4,051.76/x
  3. Step 3: Cross multiply
    9,597.60x = 14,397.94 × 4,051.76
  4. Step 4: Simplify right side
    9,597.60x = 58,336,997.37
  5. Step 5: Solve for x
    x = 58,336,997.37/9,597.60
  6. Step 6: Final answer
    x = 6,078.29

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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.