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Finding the Fourth Proportional to 9,852.47, 13,595.43 and 6,874.71

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Solution

The fourth proportional to 9,852.47, 13,595.43 and 6,874.71 is: 9,486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.47 : 13,595.43 = 6,874.71 : x
  2. Step 2: Convert to fraction form
    9,852.47/13,595.43 = 6,874.71/x
  3. Step 3: Cross multiply
    9,852.47x = 13,595.43 × 6,874.71
  4. Step 4: Simplify right side
    9,852.47x = 93,464,638.58
  5. Step 5: Solve for x
    x = 93,464,638.58/9,852.47
  6. Step 6: Final answer
    x = 9,486.42

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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.