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Finding the Fourth Proportional to 9,001.48, 12,420.12 and 5,642.68

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Solution

The fourth proportional to 9,001.48, 12,420.12 and 5,642.68 is: 7,785.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,001.48 : 12,420.12 = 5,642.68 : x
  2. Step 2: Convert to fraction form
    9,001.48/12,420.12 = 5,642.68/x
  3. Step 3: Cross multiply
    9,001.48x = 12,420.12 × 5,642.68
  4. Step 4: Simplify right side
    9,001.48x = 70,082,762.72
  5. Step 5: Solve for x
    x = 70,082,762.72/9,001.48
  6. Step 6: Final answer
    x = 7,785.69

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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.