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Finding the Fourth Proportional to 9,364.32, 12,911.04 and 6,001.60

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Solution

The fourth proportional to 9,364.32, 12,911.04 and 6,001.60 is: 8,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.32 : 12,911.04 = 6,001.60 : x
  2. Step 2: Convert to fraction form
    9,364.32/12,911.04 = 6,001.60/x
  3. Step 3: Cross multiply
    9,364.32x = 12,911.04 × 6,001.60
  4. Step 4: Simplify right side
    9,364.32x = 77,486,897.66
  5. Step 5: Solve for x
    x = 77,486,897.66/9,364.32
  6. Step 6: Final answer
    x = 8,274.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.