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Finding the Fourth Proportional to 9,884.65, 14,838.63 and 7,806.10

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Solution

The fourth proportional to 9,884.65, 14,838.63 and 7,806.10 is: 11,718.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.65 : 14,838.63 = 7,806.10 : x
  2. Step 2: Convert to fraction form
    9,884.65/14,838.63 = 7,806.10/x
  3. Step 3: Cross multiply
    9,884.65x = 14,838.63 × 7,806.10
  4. Step 4: Simplify right side
    9,884.65x = 115,831,829.64
  5. Step 5: Solve for x
    x = 115,831,829.64/9,884.65
  6. Step 6: Final answer
    x = 11,718.35

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Why These Related Problems?

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