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Finding the Fourth Proportional to 9,495.71, 13,085.57 and 6,838.10

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Solution

The fourth proportional to 9,495.71, 13,085.57 and 6,838.10 is: 9,423.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.71 : 13,085.57 = 6,838.10 : x
  2. Step 2: Convert to fraction form
    9,495.71/13,085.57 = 6,838.10/x
  3. Step 3: Cross multiply
    9,495.71x = 13,085.57 × 6,838.10
  4. Step 4: Simplify right side
    9,495.71x = 89,480,336.60
  5. Step 5: Solve for x
    x = 89,480,336.60/9,495.71
  6. Step 6: Final answer
    x = 9,423.24

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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.