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Finding the Fourth Proportional to 9,710.47, 13,400.15 and 5,461.72

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Solution

The fourth proportional to 9,710.47, 13,400.15 and 5,461.72 is: 7,537.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.47 : 13,400.15 = 5,461.72 : x
  2. Step 2: Convert to fraction form
    9,710.47/13,400.15 = 5,461.72/x
  3. Step 3: Cross multiply
    9,710.47x = 13,400.15 × 5,461.72
  4. Step 4: Simplify right side
    9,710.47x = 73,187,867.26
  5. Step 5: Solve for x
    x = 73,187,867.26/9,710.47
  6. Step 6: Final answer
    x = 7,537.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.