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Finding the Fourth Proportional to 7,030.85, 9,702.86 and 4,046.69

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Solution

The fourth proportional to 7,030.85, 9,702.86 and 4,046.69 is: 5,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,030.85 : 9,702.86 = 4,046.69 : x
  2. Step 2: Convert to fraction form
    7,030.85/9,702.86 = 4,046.69/x
  3. Step 3: Cross multiply
    7,030.85x = 9,702.86 × 4,046.69
  4. Step 4: Simplify right side
    7,030.85x = 39,264,470.56
  5. Step 5: Solve for x
    x = 39,264,470.56/7,030.85
  6. Step 6: Final answer
    x = 5,584.60

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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.