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Finding the Fourth Proportional to 9,031.37, 13,547.05 and 2,457.54

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Solution

The fourth proportional to 9,031.37, 13,547.05 and 2,457.54 is: 3,686.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.37 : 13,547.05 = 2,457.54 : x
  2. Step 2: Convert to fraction form
    9,031.37/13,547.05 = 2,457.54/x
  3. Step 3: Cross multiply
    9,031.37x = 13,547.05 × 2,457.54
  4. Step 4: Simplify right side
    9,031.37x = 33,292,411.11
  5. Step 5: Solve for x
    x = 33,292,411.11/9,031.37
  6. Step 6: Final answer
    x = 3,686.31

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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.