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Finding the Fourth Proportional to 6,570.48, 9,056.44 and 4,656.93

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Solution

The fourth proportional to 6,570.48, 9,056.44 and 4,656.93 is: 6,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.48 : 9,056.44 = 4,656.93 : x
  2. Step 2: Convert to fraction form
    6,570.48/9,056.44 = 4,656.93/x
  3. Step 3: Cross multiply
    6,570.48x = 9,056.44 × 4,656.93
  4. Step 4: Simplify right side
    6,570.48x = 42,175,178.99
  5. Step 5: Solve for x
    x = 42,175,178.99/6,570.48
  6. Step 6: Final answer
    x = 6,418.88

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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.