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Finding the Fourth Proportional to 9,077.94, 12,527.55 and 5,098.95

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Solution

The fourth proportional to 9,077.94, 12,527.55 and 5,098.95 is: 7,036.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.94 : 12,527.55 = 5,098.95 : x
  2. Step 2: Convert to fraction form
    9,077.94/12,527.55 = 5,098.95/x
  3. Step 3: Cross multiply
    9,077.94x = 12,527.55 × 5,098.95
  4. Step 4: Simplify right side
    9,077.94x = 63,877,351.07
  5. Step 5: Solve for x
    x = 63,877,351.07/9,077.94
  6. Step 6: Final answer
    x = 7,036.55

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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.