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Finding the Fourth Proportional to 9,034.95, 12,468.54 and 5,055.82

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Solution

The fourth proportional to 9,034.95, 12,468.54 and 5,055.82 is: 6,977.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,034.95 : 12,468.54 = 5,055.82 : x
  2. Step 2: Convert to fraction form
    9,034.95/12,468.54 = 5,055.82/x
  3. Step 3: Cross multiply
    9,034.95x = 12,468.54 × 5,055.82
  4. Step 4: Simplify right side
    9,034.95x = 63,038,693.90
  5. Step 5: Solve for x
    x = 63,038,693.90/9,034.95
  6. Step 6: Final answer
    x = 6,977.20

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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.