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Finding the Fourth Proportional to 6,970.66, 9,616.26 and 4,317.10

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Solution

The fourth proportional to 6,970.66, 9,616.26 and 4,317.10 is: 5,955.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,970.66 : 9,616.26 = 4,317.10 : x
  2. Step 2: Convert to fraction form
    6,970.66/9,616.26 = 4,317.10/x
  3. Step 3: Cross multiply
    6,970.66x = 9,616.26 × 4,317.10
  4. Step 4: Simplify right side
    6,970.66x = 41,514,356.05
  5. Step 5: Solve for x
    x = 41,514,356.05/6,970.66
  6. Step 6: Final answer
    x = 5,955.58

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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.