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Finding the Fourth Proportional to 9,634.58, 14,432.08 and 4,700.06

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Solution

The fourth proportional to 9,634.58, 14,432.08 and 4,700.06 is: 7,040.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.58 : 14,432.08 = 4,700.06 : x
  2. Step 2: Convert to fraction form
    9,634.58/14,432.08 = 4,700.06/x
  3. Step 3: Cross multiply
    9,634.58x = 14,432.08 × 4,700.06
  4. Step 4: Simplify right side
    9,634.58x = 67,831,641.92
  5. Step 5: Solve for x
    x = 67,831,641.92/9,634.58
  6. Step 6: Final answer
    x = 7,040.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.