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Finding the Fourth Proportional to 9,547.58, 14,302.19 and 4,867.40

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Solution

The fourth proportional to 9,547.58, 14,302.19 and 4,867.40 is: 7,291.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.58 : 14,302.19 = 4,867.40 : x
  2. Step 2: Convert to fraction form
    9,547.58/14,302.19 = 4,867.40/x
  3. Step 3: Cross multiply
    9,547.58x = 14,302.19 × 4,867.40
  4. Step 4: Simplify right side
    9,547.58x = 69,614,383.76
  5. Step 5: Solve for x
    x = 69,614,383.76/9,547.58
  6. Step 6: Final answer
    x = 7,291.32

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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.