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Finding the Fourth Proportional to 7,205, 9,946.98 and 4,689.32

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Solution

The fourth proportional to 7,205, 9,946.98 and 4,689.32 is: 6,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205 : 9,946.98 = 4,689.32 : x
  2. Step 2: Convert to fraction form
    7,205/9,946.98 = 4,689.32/x
  3. Step 3: Cross multiply
    7,205x = 9,946.98 × 4,689.32
  4. Step 4: Simplify right side
    7,205x = 46,644,572.25
  5. Step 5: Solve for x
    x = 46,644,572.25/7,205
  6. Step 6: Final answer
    x = 6,473.92

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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.