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Finding the Fourth Proportional to 9,897.32, 14,845.62 and 2,971.64

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Solution

The fourth proportional to 9,897.32, 14,845.62 and 2,971.64 is: 4,457.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.32 : 14,845.62 = 2,971.64 : x
  2. Step 2: Convert to fraction form
    9,897.32/14,845.62 = 2,971.64/x
  3. Step 3: Cross multiply
    9,897.32x = 14,845.62 × 2,971.64
  4. Step 4: Simplify right side
    9,897.32x = 44,115,789.96
  5. Step 5: Solve for x
    x = 44,115,789.96/9,897.32
  6. Step 6: Final answer
    x = 4,457.35

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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.