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Finding the Fourth Proportional to 9,823.64, 14,646.13 and 8,715.56

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Solution

The fourth proportional to 9,823.64, 14,646.13 and 8,715.56 is: 12,994.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.64 : 14,646.13 = 8,715.56 : x
  2. Step 2: Convert to fraction form
    9,823.64/14,646.13 = 8,715.56/x
  3. Step 3: Cross multiply
    9,823.64x = 14,646.13 × 8,715.56
  4. Step 4: Simplify right side
    9,823.64x = 127,649,129.76
  5. Step 5: Solve for x
    x = 127,649,129.76/9,823.64
  6. Step 6: Final answer
    x = 12,994.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.