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Finding the Fourth Proportional to 7,103.48, 9,802.88 and 3,916.89

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Solution

The fourth proportional to 7,103.48, 9,802.88 and 3,916.89 is: 5,405.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.48 : 9,802.88 = 3,916.89 : x
  2. Step 2: Convert to fraction form
    7,103.48/9,802.88 = 3,916.89/x
  3. Step 3: Cross multiply
    7,103.48x = 9,802.88 × 3,916.89
  4. Step 4: Simplify right side
    7,103.48x = 38,396,827.16
  5. Step 5: Solve for x
    x = 38,396,827.16/7,103.48
  6. Step 6: Final answer
    x = 5,405.35

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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.