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Finding the Fourth Proportional to 9,597.62, 14,396.74 and 4,051.15

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Solution

The fourth proportional to 9,597.62, 14,396.74 and 4,051.15 is: 6,076.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.62 : 14,396.74 = 4,051.15 : x
  2. Step 2: Convert to fraction form
    9,597.62/14,396.74 = 4,051.15/x
  3. Step 3: Cross multiply
    9,597.62x = 14,396.74 × 4,051.15
  4. Step 4: Simplify right side
    9,597.62x = 58,323,307.13
  5. Step 5: Solve for x
    x = 58,323,307.13/9,597.62
  6. Step 6: Final answer
    x = 6,076.85

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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.