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Finding the Fourth Proportional to 9,477.17, 13,078.01 and 5,284.61

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Solution

The fourth proportional to 9,477.17, 13,078.01 and 5,284.61 is: 7,292.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.17 : 13,078.01 = 5,284.61 : x
  2. Step 2: Convert to fraction form
    9,477.17/13,078.01 = 5,284.61/x
  3. Step 3: Cross multiply
    9,477.17x = 13,078.01 × 5,284.61
  4. Step 4: Simplify right side
    9,477.17x = 69,112,182.43
  5. Step 5: Solve for x
    x = 69,112,182.43/9,477.17
  6. Step 6: Final answer
    x = 7,292.49

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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.