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Finding the Fourth Proportional to 9,130.51, 12,599.76 and 5,151.07

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Solution

The fourth proportional to 9,130.51, 12,599.76 and 5,151.07 is: 7,108.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.51 : 12,599.76 = 5,151.07 : x
  2. Step 2: Convert to fraction form
    9,130.51/12,599.76 = 5,151.07/x
  3. Step 3: Cross multiply
    9,130.51x = 12,599.76 × 5,151.07
  4. Step 4: Simplify right side
    9,130.51x = 64,902,245.74
  5. Step 5: Solve for x
    x = 64,902,245.74/9,130.51
  6. Step 6: Final answer
    x = 7,108.28

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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.