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Finding the Fourth Proportional to 9,916.03, 13,685 and 5,440.65

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Solution

The fourth proportional to 9,916.03, 13,685 and 5,440.65 is: 7,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.03 : 13,685 = 5,440.65 : x
  2. Step 2: Convert to fraction form
    9,916.03/13,685 = 5,440.65/x
  3. Step 3: Cross multiply
    9,916.03x = 13,685 × 5,440.65
  4. Step 4: Simplify right side
    9,916.03x = 74,455,295.25
  5. Step 5: Solve for x
    x = 74,455,295.25/9,916.03
  6. Step 6: Final answer
    x = 7,508.58

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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.