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Finding the Fourth Proportional to 9,547.28, 14,322 and 4,354.64

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Solution

The fourth proportional to 9,547.28, 14,322 and 4,354.64 is: 6,532.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.28 : 14,322 = 4,354.64 : x
  2. Step 2: Convert to fraction form
    9,547.28/14,322 = 4,354.64/x
  3. Step 3: Cross multiply
    9,547.28x = 14,322 × 4,354.64
  4. Step 4: Simplify right side
    9,547.28x = 62,367,154.08
  5. Step 5: Solve for x
    x = 62,367,154.08/9,547.28
  6. Step 6: Final answer
    x = 6,532.45

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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.