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Finding the Fourth Proportional to 6,970.48, 9,619.52 and 4,139.32

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Solution

The fourth proportional to 6,970.48, 9,619.52 and 4,139.32 is: 5,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.48 : 9,619.52 = 4,139.32 : x
  2. Step 2: Convert to fraction form
    6,970.48/9,619.52 = 4,139.32/x
  3. Step 3: Cross multiply
    6,970.48x = 9,619.52 × 4,139.32
  4. Step 4: Simplify right side
    6,970.48x = 39,818,271.53
  5. Step 5: Solve for x
    x = 39,818,271.53/6,970.48
  6. Step 6: Final answer
    x = 5,712.41

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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.