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Finding the Fourth Proportional to 9,140.69, 13,702.92 and 4,458.08

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Solution

The fourth proportional to 9,140.69, 13,702.92 and 4,458.08 is: 6,683.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.69 : 13,702.92 = 4,458.08 : x
  2. Step 2: Convert to fraction form
    9,140.69/13,702.92 = 4,458.08/x
  3. Step 3: Cross multiply
    9,140.69x = 13,702.92 × 4,458.08
  4. Step 4: Simplify right side
    9,140.69x = 61,088,645.08
  5. Step 5: Solve for x
    x = 61,088,645.08/9,140.69
  6. Step 6: Final answer
    x = 6,683.16

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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.