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Finding the Fourth Proportional to 9,109.40, 12,570.18 and 5,130.14

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Solution

The fourth proportional to 9,109.40, 12,570.18 and 5,130.14 is: 7,079.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.40 : 12,570.18 = 5,130.14 : x
  2. Step 2: Convert to fraction form
    9,109.40/12,570.18 = 5,130.14/x
  3. Step 3: Cross multiply
    9,109.40x = 12,570.18 × 5,130.14
  4. Step 4: Simplify right side
    9,109.40x = 64,486,783.23
  5. Step 5: Solve for x
    x = 64,486,783.23/9,109.40
  6. Step 6: Final answer
    x = 7,079.15

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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.