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Finding the Fourth Proportional to 9,687.57, 13,368.27 and 5,437.74

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Solution

The fourth proportional to 9,687.57, 13,368.27 and 5,437.74 is: 7,503.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.57 : 13,368.27 = 5,437.74 : x
  2. Step 2: Convert to fraction form
    9,687.57/13,368.27 = 5,437.74/x
  3. Step 3: Cross multiply
    9,687.57x = 13,368.27 × 5,437.74
  4. Step 4: Simplify right side
    9,687.57x = 72,693,176.51
  5. Step 5: Solve for x
    x = 72,693,176.51/9,687.57
  6. Step 6: Final answer
    x = 7,503.76

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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.