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Finding the Fourth Proportional to 12,547.35, 17,314.88 and 6,881.94

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Solution

The fourth proportional to 12,547.35, 17,314.88 and 6,881.94 is: 9,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,547.35 : 17,314.88 = 6,881.94 : x
  2. Step 2: Convert to fraction form
    12,547.35/17,314.88 = 6,881.94/x
  3. Step 3: Cross multiply
    12,547.35x = 17,314.88 × 6,881.94
  4. Step 4: Simplify right side
    12,547.35x = 119,159,930.86
  5. Step 5: Solve for x
    x = 119,159,930.86/12,547.35
  6. Step 6: Final answer
    x = 9,496.82

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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.