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Finding the Fourth Proportional to 7,146.59, 9,859.16 and 4,312.35

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Solution

The fourth proportional to 7,146.59, 9,859.16 and 4,312.35 is: 5,949.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.59 : 9,859.16 = 4,312.35 : x
  2. Step 2: Convert to fraction form
    7,146.59/9,859.16 = 4,312.35/x
  3. Step 3: Cross multiply
    7,146.59x = 9,859.16 × 4,312.35
  4. Step 4: Simplify right side
    7,146.59x = 42,516,159.41
  5. Step 5: Solve for x
    x = 42,516,159.41/7,146.59
  6. Step 6: Final answer
    x = 5,949.16

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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.