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Finding the Fourth Proportional to 9,145.98, 12,612.20 and 7,461.98

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Solution

The fourth proportional to 9,145.98, 12,612.20 and 7,461.98 is: 10,289.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.98 : 12,612.20 = 7,461.98 : x
  2. Step 2: Convert to fraction form
    9,145.98/12,612.20 = 7,461.98/x
  3. Step 3: Cross multiply
    9,145.98x = 12,612.20 × 7,461.98
  4. Step 4: Simplify right side
    9,145.98x = 94,111,984.16
  5. Step 5: Solve for x
    x = 94,111,984.16/9,145.98
  6. Step 6: Final answer
    x = 10,289.98

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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.