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Finding the Fourth Proportional to 9,064.83, 12,509.58 and 5,085.70

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Solution

The fourth proportional to 9,064.83, 12,509.58 and 5,085.70 is: 7,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.83 : 12,509.58 = 5,085.70 : x
  2. Step 2: Convert to fraction form
    9,064.83/12,509.58 = 5,085.70/x
  3. Step 3: Cross multiply
    9,064.83x = 12,509.58 × 5,085.70
  4. Step 4: Simplify right side
    9,064.83x = 63,619,971.01
  5. Step 5: Solve for x
    x = 63,619,971.01/9,064.83
  6. Step 6: Final answer
    x = 7,018.33

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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.