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Finding the Fourth Proportional to 9,547.74, 14,322.58 and 3,307.74

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Solution

The fourth proportional to 9,547.74, 14,322.58 and 3,307.74 is: 4,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.74 : 14,322.58 = 3,307.74 : x
  2. Step 2: Convert to fraction form
    9,547.74/14,322.58 = 3,307.74/x
  3. Step 3: Cross multiply
    9,547.74x = 14,322.58 × 3,307.74
  4. Step 4: Simplify right side
    9,547.74x = 47,375,370.77
  5. Step 5: Solve for x
    x = 47,375,370.77/9,547.74
  6. Step 6: Final answer
    x = 4,961.95

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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.