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Finding the Fourth Proportional to 9,046.78, 12,484.68 and 5,901.16

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Solution

The fourth proportional to 9,046.78, 12,484.68 and 5,901.16 is: 8,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.78 : 12,484.68 = 5,901.16 : x
  2. Step 2: Convert to fraction form
    9,046.78/12,484.68 = 5,901.16/x
  3. Step 3: Cross multiply
    9,046.78x = 12,484.68 × 5,901.16
  4. Step 4: Simplify right side
    9,046.78x = 73,674,094.23
  5. Step 5: Solve for x
    x = 73,674,094.23/9,046.78
  6. Step 6: Final answer
    x = 8,143.68

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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.