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Finding the Fourth Proportional to 9,253.84, 13,884.40 and 4,056.07

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Solution

The fourth proportional to 9,253.84, 13,884.40 and 4,056.07 is: 6,085.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,253.84 : 13,884.40 = 4,056.07 : x
  2. Step 2: Convert to fraction form
    9,253.84/13,884.40 = 4,056.07/x
  3. Step 3: Cross multiply
    9,253.84x = 13,884.40 × 4,056.07
  4. Step 4: Simplify right side
    9,253.84x = 56,316,098.31
  5. Step 5: Solve for x
    x = 56,316,098.31/9,253.84
  6. Step 6: Final answer
    x = 6,085.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.