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Finding the Fourth Proportional to 9,856.98, 13,602.60 and 5,878.26

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Solution

The fourth proportional to 9,856.98, 13,602.60 and 5,878.26 is: 8,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.98 : 13,602.60 = 5,878.26 : x
  2. Step 2: Convert to fraction form
    9,856.98/13,602.60 = 5,878.26/x
  3. Step 3: Cross multiply
    9,856.98x = 13,602.60 × 5,878.26
  4. Step 4: Simplify right side
    9,856.98x = 79,959,619.48
  5. Step 5: Solve for x
    x = 79,959,619.48/9,856.98
  6. Step 6: Final answer
    x = 8,111.98

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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.