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Finding the Fourth Proportional to 9,901.35, 14,830.43 and 4,962.38

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Solution

The fourth proportional to 9,901.35, 14,830.43 and 4,962.38 is: 7,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.35 : 14,830.43 = 4,962.38 : x
  2. Step 2: Convert to fraction form
    9,901.35/14,830.43 = 4,962.38/x
  3. Step 3: Cross multiply
    9,901.35x = 14,830.43 × 4,962.38
  4. Step 4: Simplify right side
    9,901.35x = 73,594,130.26
  5. Step 5: Solve for x
    x = 73,594,130.26/9,901.35
  6. Step 6: Final answer
    x = 7,432.74

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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.