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Finding the Fourth Proportional to 9,898.12, 13,646.82 and 7,068.88

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Solution

The fourth proportional to 9,898.12, 13,646.82 and 7,068.88 is: 9,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,898.12 : 13,646.82 = 7,068.88 : x
  2. Step 2: Convert to fraction form
    9,898.12/13,646.82 = 7,068.88/x
  3. Step 3: Cross multiply
    9,898.12x = 13,646.82 × 7,068.88
  4. Step 4: Simplify right side
    9,898.12x = 96,467,732.96
  5. Step 5: Solve for x
    x = 96,467,732.96/9,898.12
  6. Step 6: Final answer
    x = 9,746.07

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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.