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Finding the Fourth Proportional to 7,029.87, 9,702.59 and 4,515.16

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Solution

The fourth proportional to 7,029.87, 9,702.59 and 4,515.16 is: 6,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.87 : 9,702.59 = 4,515.16 : x
  2. Step 2: Convert to fraction form
    7,029.87/9,702.59 = 4,515.16/x
  3. Step 3: Cross multiply
    7,029.87x = 9,702.59 × 4,515.16
  4. Step 4: Simplify right side
    7,029.87x = 43,808,746.26
  5. Step 5: Solve for x
    x = 43,808,746.26/7,029.87
  6. Step 6: Final answer
    x = 6,231.80

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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.