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Finding the Fourth Proportional to 28,002.25, 42,001.01 and 9,276.16

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Solution

The fourth proportional to 28,002.25, 42,001.01 and 9,276.16 is: 13,913.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,002.25 : 42,001.01 = 9,276.16 : x
  2. Step 2: Convert to fraction form
    28,002.25/42,001.01 = 9,276.16/x
  3. Step 3: Cross multiply
    28,002.25x = 42,001.01 × 9,276.16
  4. Step 4: Simplify right side
    28,002.25x = 389,607,878.92
  5. Step 5: Solve for x
    x = 389,607,878.92/28,002.25
  6. Step 6: Final answer
    x = 13,913.45

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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.