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Finding the Fourth Proportional to 9,701.20, 14,547 and 4,503.76

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Solution

The fourth proportional to 9,701.20, 14,547 and 4,503.76 is: 6,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.20 : 14,547 = 4,503.76 : x
  2. Step 2: Convert to fraction form
    9,701.20/14,547 = 4,503.76/x
  3. Step 3: Cross multiply
    9,701.20x = 14,547 × 4,503.76
  4. Step 4: Simplify right side
    9,701.20x = 65,516,196.72
  5. Step 5: Solve for x
    x = 65,516,196.72/9,701.20
  6. Step 6: Final answer
    x = 6,753.41

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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.