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Finding the Fourth Proportional to 8,547.36, 11,785.68 and 6,970.56

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Solution

The fourth proportional to 8,547.36, 11,785.68 and 6,970.56 is: 9,611.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,547.36 : 11,785.68 = 6,970.56 : x
  2. Step 2: Convert to fraction form
    8,547.36/11,785.68 = 6,970.56/x
  3. Step 3: Cross multiply
    8,547.36x = 11,785.68 × 6,970.56
  4. Step 4: Simplify right side
    8,547.36x = 82,152,789.58
  5. Step 5: Solve for x
    x = 82,152,789.58/8,547.36
  6. Step 6: Final answer
    x = 9,611.48

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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.