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Finding the Fourth Proportional to 7,153.84, 9,877.44 and 4,639.60

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Solution

The fourth proportional to 7,153.84, 9,877.44 and 4,639.60 is: 6,405.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.84 : 9,877.44 = 4,639.60 : x
  2. Step 2: Convert to fraction form
    7,153.84/9,877.44 = 4,639.60/x
  3. Step 3: Cross multiply
    7,153.84x = 9,877.44 × 4,639.60
  4. Step 4: Simplify right side
    7,153.84x = 45,827,370.62
  5. Step 5: Solve for x
    x = 45,827,370.62/7,153.84
  6. Step 6: Final answer
    x = 6,405.98

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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.