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Finding the Fourth Proportional to 6,460, 9,688 and 4,378.72

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Solution

The fourth proportional to 6,460, 9,688 and 4,378.72 is: 6,566.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460 : 9,688 = 4,378.72 : x
  2. Step 2: Convert to fraction form
    6,460/9,688 = 4,378.72/x
  3. Step 3: Cross multiply
    6,460x = 9,688 × 4,378.72
  4. Step 4: Simplify right side
    6,460x = 42,421,039.36
  5. Step 5: Solve for x
    x = 42,421,039.36/6,460
  6. Step 6: Final answer
    x = 6,566.72

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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.