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Finding the Fourth Proportional to 7,070.24, 9,753 and 6,569.66

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Solution

The fourth proportional to 7,070.24, 9,753 and 6,569.66 is: 9,062.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.24 : 9,753 = 6,569.66 : x
  2. Step 2: Convert to fraction form
    7,070.24/9,753 = 6,569.66/x
  3. Step 3: Cross multiply
    7,070.24x = 9,753 × 6,569.66
  4. Step 4: Simplify right side
    7,070.24x = 64,073,893.98
  5. Step 5: Solve for x
    x = 64,073,893.98/7,070.24
  6. Step 6: Final answer
    x = 9,062.48

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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.