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Finding the Fourth Proportional to 9,510.64, 14,269.56 and 4,312.96

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Solution

The fourth proportional to 9,510.64, 14,269.56 and 4,312.96 is: 6,471.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,510.64 : 14,269.56 = 4,312.96 : x
  2. Step 2: Convert to fraction form
    9,510.64/14,269.56 = 4,312.96/x
  3. Step 3: Cross multiply
    9,510.64x = 14,269.56 × 4,312.96
  4. Step 4: Simplify right side
    9,510.64x = 61,544,041.50
  5. Step 5: Solve for x
    x = 61,544,041.50/9,510.64
  6. Step 6: Final answer
    x = 6,471.07

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Why These Related Problems?

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