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Finding the Fourth Proportional to 6,457.71, 9,663.48 and 5,061.45

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Solution

The fourth proportional to 6,457.71, 9,663.48 and 5,061.45 is: 7,574.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.71 : 9,663.48 = 5,061.45 : x
  2. Step 2: Convert to fraction form
    6,457.71/9,663.48 = 5,061.45/x
  3. Step 3: Cross multiply
    6,457.71x = 9,663.48 × 5,061.45
  4. Step 4: Simplify right side
    6,457.71x = 48,911,161.31
  5. Step 5: Solve for x
    x = 48,911,161.31/6,457.71
  6. Step 6: Final answer
    x = 7,574.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.