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Finding the Fourth Proportional to 7,024.95, 9,705.83 and 6,955.83

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Solution

The fourth proportional to 7,024.95, 9,705.83 and 6,955.83 is: 9,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.95 : 9,705.83 = 6,955.83 : x
  2. Step 2: Convert to fraction form
    7,024.95/9,705.83 = 6,955.83/x
  3. Step 3: Cross multiply
    7,024.95x = 9,705.83 × 6,955.83
  4. Step 4: Simplify right side
    7,024.95x = 67,512,068.71
  5. Step 5: Solve for x
    x = 67,512,068.71/7,024.95
  6. Step 6: Final answer
    x = 9,610.33

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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.