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Finding the Fourth Proportional to 9,085.80, 12,538.80 and 5,106.72

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Solution

The fourth proportional to 9,085.80, 12,538.80 and 5,106.72 is: 7,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.80 : 12,538.80 = 5,106.72 : x
  2. Step 2: Convert to fraction form
    9,085.80/12,538.80 = 5,106.72/x
  3. Step 3: Cross multiply
    9,085.80x = 12,538.80 × 5,106.72
  4. Step 4: Simplify right side
    9,085.80x = 64,032,140.74
  5. Step 5: Solve for x
    x = 64,032,140.74/9,085.80
  6. Step 6: Final answer
    x = 7,047.50

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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.