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Finding the Fourth Proportional to 9,031.61, 13,547.95 and 3,484.99

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Solution

The fourth proportional to 9,031.61, 13,547.95 and 3,484.99 is: 5,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.61 : 13,547.95 = 3,484.99 : x
  2. Step 2: Convert to fraction form
    9,031.61/13,547.95 = 3,484.99/x
  3. Step 3: Cross multiply
    9,031.61x = 13,547.95 × 3,484.99
  4. Step 4: Simplify right side
    9,031.61x = 47,214,421.89
  5. Step 5: Solve for x
    x = 47,214,421.89/9,031.61
  6. Step 6: Final answer
    x = 5,227.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.