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Finding the Fourth Proportional to 6,987.47, 10,415.35 and 6,426.95

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Solution

The fourth proportional to 6,987.47, 10,415.35 and 6,426.95 is: 9,579.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.47 : 10,415.35 = 6,426.95 : x
  2. Step 2: Convert to fraction form
    6,987.47/10,415.35 = 6,426.95/x
  3. Step 3: Cross multiply
    6,987.47x = 10,415.35 × 6,426.95
  4. Step 4: Simplify right side
    6,987.47x = 66,938,889.64
  5. Step 5: Solve for x
    x = 66,938,889.64/6,987.47
  6. Step 6: Final answer
    x = 9,579.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.