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Finding the Fourth Proportional to 7,037.58, 9,707.63 and 4,647.57

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Solution

The fourth proportional to 7,037.58, 9,707.63 and 4,647.57 is: 6,410.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037.58 : 9,707.63 = 4,647.57 : x
  2. Step 2: Convert to fraction form
    7,037.58/9,707.63 = 4,647.57/x
  3. Step 3: Cross multiply
    7,037.58x = 9,707.63 × 4,647.57
  4. Step 4: Simplify right side
    7,037.58x = 45,116,866.72
  5. Step 5: Solve for x
    x = 45,116,866.72/7,037.58
  6. Step 6: Final answer
    x = 6,410.85

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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.