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Finding the Fourth Proportional to 7,029.66, 9,700.64 and 4,045.60

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Solution

The fourth proportional to 7,029.66, 9,700.64 and 4,045.60 is: 5,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.66 : 9,700.64 = 4,045.60 : x
  2. Step 2: Convert to fraction form
    7,029.66/9,700.64 = 4,045.60/x
  3. Step 3: Cross multiply
    7,029.66x = 9,700.64 × 4,045.60
  4. Step 4: Simplify right side
    7,029.66x = 39,244,909.18
  5. Step 5: Solve for x
    x = 39,244,909.18/7,029.66
  6. Step 6: Final answer
    x = 5,582.76

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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.