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Finding the Fourth Proportional to 9,613, 14,421.83 and 4,681.52

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Solution

The fourth proportional to 9,613, 14,421.83 and 4,681.52 is: 7,023.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613 : 14,421.83 = 4,681.52 : x
  2. Step 2: Convert to fraction form
    9,613/14,421.83 = 4,681.52/x
  3. Step 3: Cross multiply
    9,613x = 14,421.83 × 4,681.52
  4. Step 4: Simplify right side
    9,613x = 67,516,085.58
  5. Step 5: Solve for x
    x = 67,516,085.58/9,613
  6. Step 6: Final answer
    x = 7,023.41

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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.