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Finding the Fourth Proportional to 9,787.64, 13,503.02 and 5,595

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Solution

The fourth proportional to 9,787.64, 13,503.02 and 5,595 is: 7,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.64 : 13,503.02 = 5,595 : x
  2. Step 2: Convert to fraction form
    9,787.64/13,503.02 = 5,595/x
  3. Step 3: Cross multiply
    9,787.64x = 13,503.02 × 5,595
  4. Step 4: Simplify right side
    9,787.64x = 75,549,396.90
  5. Step 5: Solve for x
    x = 75,549,396.90/9,787.64
  6. Step 6: Final answer
    x = 7,718.86

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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.